Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:45:24.128822Z
Paper Citation Record · LEDGER
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation
As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.12027.
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25 of 25 outbound references displayed
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Outbound references
Observation 0f7b07d3-5d01-41d1-9575-97ea86d3f3e7 · outbound
This paper cites Asymptotics, frequency mo dulation, and low regularity ill-posedness for canonical d efo- cusing equations.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Asymptotics, frequency mo dulation, and low regularity ill-posedness for canonical d efo- cusing equations
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.448685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0885d834-4157-41ca-9854-c6fe395d7103 · outbound
This paper cites Inverse scattering transforms and solito n solutions of focusing and defocusing nonlocal mKdV equati ons with non-zero boundary conditions.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Inverse scattering transforms and solito n solutions of focusing and defocusing nonlocal mKdV equati ons with non-zero boundary conditions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.436933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd6be336-5465-4e22-84c1-ea7d6adeeed4 · outbound
This paper cites Focusing and defocusing mKdV equations wi th nonzero boundary conditions: Inverse scattering trans- forms and soliton interactions.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Focusing and defocusing mKdV equations wi th nonzero boundary conditions: Inverse scattering trans- forms and soliton interactions
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.426151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6692924c-bb07-4580-910e-d1cd3e7fe0a2 · outbound
This paper cites Long-time asymptotic behavior for the disc rete defocusing mKdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Long-time asymptotic behavior for the disc rete defocusing mKdV equation
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.414859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac3cd747-69f8-4ad1-b0d0-d52f6a791a5a · outbound
This paper cites The complete classification of solut ions to the Riemann problem of the defocusing complex modified KdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation The complete classification of solut ions to the Riemann problem of the defocusing complex modified KdV equation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.403511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8578c2ee-51eb-4f5c-9104-3f22de964e5d · outbound
This paper cites Dark breathers on a snoidal wa ve background in the defocusing mKdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Dark breathers on a snoidal wa ve background in the defocusing mKdV equation
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.392471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 63643c70-1f30-460d-921e-0a2261d1a3eb · outbound
This paper cites On the Cauchy problem of defocusing mK dV equation with finite density initial data: Long time asymptotics in soliton-less regions.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation On the Cauchy problem of defocusing mK dV equation with finite density initial data: Long time asymptotics in soliton-less regions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.380665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aa80196b-8bc0-4cba-93e3-76de3e1dcb43 · outbound
This paper cites Existence of solitary waves and peri odic waves to a perturbed generalized KdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Existence of solitary waves and peri odic waves to a perturbed generalized KdV equation
Reference 8
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- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.369394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b9a6daf3-44aa-4662-b97b-4259a4dd3134 · outbound
This paper cites Travelling wave solutions to a perturbed Kortew eg-de Vries equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Travelling wave solutions to a perturbed Kortew eg-de Vries equation
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.357548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b5cc20b4-5196-427b-b893-32a5c328fe4a · outbound
This paper cites Limit speed of traveling wave so lutions for the perturbed generalized KdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Limit speed of traveling wave so lutions for the perturbed generalized KdV equation
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.344044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b599c687-c340-48cc-9b4f-3bede8a25563 · outbound
This paper cites Monotonicity of limit wave spee d of traveling wave solutions for a perturbed generalized KdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Monotonicity of limit wave spee d of traveling wave solutions for a perturbed generalized KdV equation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.332865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8cdb78b8-4fe1-4e60-bbe2-3f12c6c12480 · outbound
This paper cites Monotonicity of limit wave speed of periodic traveling wave solutions via Abelian integral.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Monotonicity of limit wave speed of periodic traveling wave solutions via Abelian integral
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T17:45:24.167673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 11b1bbde-dcde-4955-9d54-f900876b318a · outbound
This paper cites Existence of kink waves and period ic waves for a perturbed defocusing mKdV equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Existence of kink waves and period ic waves for a perturbed defocusing mKdV equation
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.321384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b5cef2c2-87ee-4864-b4ab-9c04085143bc · outbound
This paper cites Periodic solutions with equal pe riod for the Friedmann-Robertson-Walker model.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Periodic solutions with equal pe riod for the Friedmann-Robertson-Walker model
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.309702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5c1aa7e4-63ba-42a6-8b3a-8658680a134a · outbound
This paper cites Existence of solitary waves and per iodic waves for a perturbed generalized BBM equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Existence of solitary waves and per iodic waves for a perturbed generalized BBM equation
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.298447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f54cd431-8386-468c-ac3b-6714fb4290e5 · outbound
This paper cites Bifurcations analysis and monotonici ty of the period function of the Lakshmanan-Porsezian-Dani el equation with Kerr law of nonlinearity.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Bifurcations analysis and monotonici ty of the period function of the Lakshmanan-Porsezian-Dani el equation with Kerr law of nonlinearity
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.286470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5a70717d-8f87-44df-b816-054571ce8d62 · outbound
This paper cites Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.274868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 148eba7b-c3f8-4494-b816-9bafda97ccac · outbound
This paper cites Stability of smooth periodic travelling waves in the Camassa-Holm equation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Stability of smooth periodic travelling waves in the Camassa-Holm equation
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.263181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 09bbe480-29ae-40c1-90e4-828431db1be7 · outbound
This paper cites Behavior of per iodic solutions of viscous conservation laws under localiz ed and nonlocalized perturbations.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Behavior of per iodic solutions of viscous conservation laws under localiz ed and nonlocalized perturbations
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.250673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 264adb94-a0b0-48b7-a428-c4f16b60e222 · outbound
This paper cites Periodic wave solutions for a KP-MEW equation under delay perturbation.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Periodic wave solutions for a KP-MEW equation under delay perturbation
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.239129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0628a1c3-8bdf-4b72-bfe7-07291f0aa548 · outbound
This paper cites Traveling waves in a quintic BBM equation un der both distributed delay and weak backward di ffusion.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Traveling waves in a quintic BBM equation un der both distributed delay and weak backward di ffusion
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.226592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a0723ea-8a15-40b2-af2c-aecf587f80df · outbound
This paper cites Method of bifurcation theory.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Method of bifurcation theory
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.215058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ef388ebb-6ac6-4072-be66-7ef361024bfe · outbound
This paper cites Singular nonlinear traveling wave equations: bi furcation and exact solutions.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Singular nonlinear traveling wave equations: bi furcation and exact solutions
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.203510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cf83be34-5eed-4125-8283-25a1560dc5e5 · outbound
This paper cites Traveling Waves in a generalized KdV equation with arbitrarily high-order nonlinearity and different distributed delays.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Traveling Waves in a generalized KdV equation with arbitrarily high-order nonlinearity and different distributed delays
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.191760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9f1242f1-73e1-47dd-a074-0d1237730e84 · outbound
This paper cites Limit cycles of di fferential equations.
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation Limit cycles of di fferential equations
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:45:24.180089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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