Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:26:33.009619Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 3 inbound Pith citation observations for arXiv:2509.04184.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:26:33.009619Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-01T04:55:56.724033Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T05:09:36.452096Z
59 of 59 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 33b0e989-71e6-4de4-a3f3-2e152e84ab80 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Ablowitz, Christopher W
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 46916545-fcd7-460e-ad22-44be4be79b12 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On mathematical models for Bose–Einstein condensates in optical lattices
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation aa7e8332-2af2-4e94-9d28-e3472855ace9 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of solutions for semilinear elliptic equations with indefinite linear part
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8a0106ef-9717-49ec-af3c-9f0475fc4bb8 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Functional analytic methods for discrete ap- proximations of subwavelength resonator systems
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0a3eabfd-a62b-43ec-b095-03d41f2627d3 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Mathematical theories for metamaterials: From condensed matter theory to subwavelength physics
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5c935aba-47e5-4da7-b80e-d9dcef7aab0d · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Math- ematical and computational methods in photonics and phononics , volume 235
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1e36fc44-9c51-4c72-83ea-1d31ce3f3c07 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear subwavelength resonances in three dimensions
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5c36c773-eb22-4171-942e-1b587d2f391c · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a8aad91e-d536-448a-b9ed-b69d60367eff · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear dispersive equations, volume 156 of Mathematical Surveys and Monographs
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f3bd8c9-77f0-4b46-b282-815077b3fb72 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Universal edge transport in interacting hall systems
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f1ceb8d6-df08-47c8-9d27-de4b7c8a2f6c · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Exponential times in the one-dimensional Gross–Pitaevskii equation with multiple well potential
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b8901ee-ff14-4982-865e-90c9e5c41db1 · outbound
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c7e720e7-55a2-43b2-975b-8c6d2af404ec · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Homoclinic solutions of discrete nonlinear Schr¨ odinger equations with asymptotically or super linear terms
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 14c6302a-7a52-413f-9506-869d6b61ca5d · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Perturbed Schr¨ odinger lattice systems: existence of homoclinic solutions
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6325898b-b8bc-4d0e-88cf-27a1577de95f · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Discrete Schr¨ odinger equations and systems with mixed and concave- convex nonlinearities
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60a7bc74-dd5c-4f1f-bc5b-0d7c06b5aefa · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 30edcf6b-374b-4e4a-9141-23a1b0056d73 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bifurcation of nonlinear Bloch waves from the spectrum in the Gross– Pitaevskii equation
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 155f2f78-2ba2-4f00-9583-1f3c39e06cbd · outbound
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 70e61e5c-94c5-4a67-a75b-b36753d1b5fc · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3aedf8a7-b2d1-4523-815e-b3f803a97b3a · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Modal decompositions and point scatterer approximations near the minnaert resonance frequencies
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2980929a-376b-47fd-8d49-67ced04fb041 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Subwavelength resonant acoustic scattering in fast time-modulated media
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d30c29d0-8fcd-4e1c-aae8-0da348fdec07 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Approximation of a two-dimensional Gross–Pitaevskii equation with a periodic potential in the tight-binding limit
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6d0aac80-0f0c-48a0-a52a-304645936e4c · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 931f64c2-9a46-4576-9487-996adf0ea83d · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 55cd86be-d2c6-4b3b-ab63-d7c9243ff0df · outbound
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5a593375-a5c7-465c-8d50-83bf2c391bd6 · outbound
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4e12ace3-7f3d-40e1-b5d2-79f88520a831 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions A remark on least energy solutions in Rn
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 740c4391-8457-4cec-be72-e4ecbffec423 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of homoclinic solutions for higher-order periodic difference equations with p- laplacian
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e466e75-dd59-41ae-ac37-0bf932696603 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions K¨ upper and C.A
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a41b551d-e144-4b63-8494-fb74bc1232fc · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Wave propagation control at the deep subwavelength scale in metamaterials
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3f9d92c7-3da8-4388-8623-6178e5a4e958 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions A first course in Sobolev spaces , volume 181
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e40e8f17-8b16-4570-ae7f-ffd7d96b9957 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Edge solitons in nonlinear-photonic topological insulators
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3000d2c2-da92-48b3-a6e1-3ba725b7db68 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Topological bulk solitons in a nonlinear photonic chern insulator
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0adab2f8-9a85-4327-9b6a-a4483ddec675 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Homoclinic solutions of periodic discrete Schr¨ odinger equations with local superquadratic conditions
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b2e301d-60a1-451f-9b5f-391a916e2c6a · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions The concentration-compactness principle in the calculus of variations
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cb365e82-261b-477b-b6a7-ef35229853b3 · outbound
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a5eec82c-18b1-4586-bceb-2819a01a678e · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Mukherjee and M.C
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fffa2856-06be-4551-b350-11a280c2d760 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Observation of Floquet solitons in a topological bandgap
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e9575e5d-5571-4bea-afa6-4bcb65f5397c · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 79d0aef0-3a10-4e13-b1b5-f1db36effe3c · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Gap solitons in periodic discrete nonlinear Schr¨ odinger equations with saturable non- linearities
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6b8364d2-d3af-42a2-9fac-fd0968f41317 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bounds on the tight-binding approximation for the Gross– Pitaevskii equation with a periodic potential
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 90f8b85f-bfed-49d8-9196-f0d2e9e08523 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6423f224-c35d-4304-8128-b32a41b72f93 · outbound
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4ea66c94-db5a-4147-ac56-2af9daaba4dd · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bulk-edge correspondence in finite photonic structure
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c2842f6-047e-4a35-b822-e0684235516b · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Derivation of the tight-binding approximation for time-dependent nonlinear Schr¨ odinger equations
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 121ea552-ec49-4785-87e6-b182e673583c · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Perturbation theory for nonlinear Schr¨ odinger equations
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c99f194a-2bd3-4a2c-b816-bfa0d3f340e7 · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1828188d-075c-4085-b9b4-6255a4c61a4a · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 19d56f90-6f96-438e-83c5-9fac0ef09b1e · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of gap solitons in periodic discrete nonlinear Schr¨ odinger equations
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2060bf9c-e3c4-4253-a6dc-58d9ff851f3e · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear topological photonics
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 735feb42-2ed3-4463-a92d-788a34fe3d84 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Smirnova, Lev A
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a543b861-2f9d-419d-887a-7b448fd5d894 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinearity- induced topological phase transition characterized by the nonlinear chern number
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f8dd869e-0ea4-4275-b507-d22601fcfd00 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9e92fa92-15b7-40ed-a7d7-698a691030bc · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Szameit and M.C
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b5f7059c-9a99-4c34-9d26-fd2ee68a057c · outbound
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7f8595a0-6a30-4a08-85bc-b9ad587ac8b4 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Finite element method and its analysis for a nonlinear helmholtz equation with high wave numbers
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7bc8f04b-a332-468f-ba41-ecef6dd4b4d4 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Breather solutions of the discrete nonlinear Schr¨ odinger equations with unbounded po- tentials
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a693406f-dfdc-45e3-87f0-e9ef22712d8f · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94fec7e2-30ca-4428-8a92-5a9a41f8c879 · outbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On the existence of gap solitons in a periodic discrete nonlinear Schr¨ odinger equation with saturable nonlinearity.Nonlinearity, 23(7):1727, 2010
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e00b5958-60ea-4fa0-b2a6-2d42a72bdc73 · inbound
Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0671b863-9422-4eea-a88f-84166f91e193 · inbound
Perturbative Approach to Nonlinear Capacitance Matrix Formulations Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7aea6608-26e1-43fc-9e00-793d871a024d · inbound
Nonlinear subwavelength resonances and bound states in the continuum in metascreens Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.