Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:15:35.063818Z
Paper Citation Record · LEDGER
Selected aspects of the Korteweg-de Vries equation
As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2411.18504.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-11T02:06:37.497367Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T03:55:57.043595Z
Reference resolution
44 of 44 outbound references displayed
- verified exact1
- verified fuzzy21
- unresolved22
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 62838c18-d63d-4594-ae36-347ca3d1ff0f · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.718455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 19c5bc33-e2e4-4274-a8fa-bdce2a7cacc8 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.703714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eda80e21-26e9-478b-859e-4a3886442b6f · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.690165Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d7dc219f-b51d-4b34-bf88-51f8fc8ae25c · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.676260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8f55ecf1-023a-49f8-b408-f8e937c03ea5 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.662668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 50caae81-f1b4-46a3-9bc1-c7a97b53e5a8 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.649009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 01d5aaac-a73f-4a31-81a6-fec9d0650d1e · outbound
This paper cites Using this, b aκ = 1 leads toκ = a2.
Selected aspects of the Korteweg-de Vries equation Using this, b aκ = 1 leads toκ = a2
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.634380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fe76155b-21cf-4145-accc-68e2a76ad0be · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.620248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fdcb2f55-f4d8-4049-a53b-21340d055266 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.606685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 763deaa6-1100-4f12-a268-7d82195b2657 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.593411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3e065ff4-8962-4add-88ad-47e2b15b5c50 · outbound
This paper cites The following statement stems in fact from ODE theory but is often very useful when estimating a growth rate of solutions.
Selected aspects of the Korteweg-de Vries equation The following statement stems in fact from ODE theory but is often very useful when estimating a growth rate of solutions
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.579547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 31436cb3-3c08-459b-9b54-6ae1f3be4594 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.564170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 14045250-fab3-44b0-b1d2-58ec643ffbe8 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.549691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 469000b4-28ae-406c-a1c2-82080b029cd1 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.535238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 423182e2-1bc3-4822-94f5-554f4fd3fc2a · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.519734Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7e6ecad6-90a8-4f55-b730-eb3b3f9159e4 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.505966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cbd25a59-27e1-43d2-9308-a73a75106ead · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.491370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6b3df966-f2eb-426e-b79d-79b2a653dc11 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.477603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b06df39f-2964-4e25-b6c6-d5340cc32e72 · outbound
This paper cites Thus all F k are integrals of the standard KdV equation.
Selected aspects of the Korteweg-de Vries equation Thus all F k are integrals of the standard KdV equation
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.462886Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4b7c03d0-ff17-4767-ae06-a26aeb8e1d5d · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.448900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1f04477d-c8ef-436c-aaab-ff83850f156a · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.435406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0b756f18-92f8-4ac1-b78d-68abace6da6d · outbound
This paper cites Now we show that in fact{F j, Fk} = 0 holds true for all j, k≥ 1.
Selected aspects of the Korteweg-de Vries equation Now we show that in fact{F j, Fk} = 0 holds true for all j, k≥ 1
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.421975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8e7090ff-7faf-42bc-a909-8793308a09ae · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.408363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ce3e2b7f-fca0-478c-bc4c-e2d4e78da8ad · outbound
This paper cites Let K : C∞(R× R, R)→ C∞(R× R, R) with K (u) : =−(6uux + uxxx) and u depending on (x, t)∈ R2.
Selected aspects of the Korteweg-de Vries equation Let K : C∞(R× R, R)→ C∞(R× R, R) with K (u) : =−(6uux + uxxx) and u depending on (x, t)∈ R2
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.394802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3b127695-2848-41d1-b467-db5ec971bb38 · outbound
This paper cites x adds +1 to the degree, i.e., deg( u) = 2, deg(ux) = 3, deg(uxx) = 4 etc., and multiplication leads to addition of the degrees, i.e., deg( uux) = 2 + 3 = 5 etc.
Selected aspects of the Korteweg-de Vries equation x adds +1 to the degree, i.e., deg( u) = 2, deg(ux) = 3, deg(uxx) = 4 etc., and multiplication leads to addition of the degrees, i.e., deg( uux) = 2 + 3 = 5 etc
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.381149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 670a2256-57f9-4ad7-8a60-8c5e045d76a6 · outbound
This paper cites • degree 7: c1u2ux + c2uuxxx + c3uxuxx + c4uxxxxx with (constant) coefficients c1, c2, c3, c4∈ R.
Selected aspects of the Korteweg-de Vries equation • degree 7: c1u2ux + c2uuxxx + c3uxuxx + c4uxxxxx with (constant) coefficients c1, c2, c3, c4∈ R
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.367388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 68e912d2-89a4-4754-bc2e-180e71f3a62d · outbound
This paper cites So it is of particular interest to find equivalent formulations that are hopefully easier to solve.
Selected aspects of the Korteweg-de Vries equation So it is of particular interest to find equivalent formulations that are hopefully easier to solve
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.353473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4b2fe9dc-8165-409e-bcc7-b1b3353fa63c · outbound
This paper cites Similarly we can recover the Hamiltonian, i.e., the conserved quantity, by computing the trace of the square of the matrix L.
Selected aspects of the Korteweg-de Vries equation Similarly we can recover the Hamiltonian, i.e., the conserved quantity, by computing the trace of the square of the matrix L
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.338301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 141ea078-02c9-4bd4-90e3-7e14059e2aea · outbound
This paper cites • 0 = 2(v1)x + uv0 + (v0)xx = 2(v1)x + uv0 implies v1(x) =− v0 2 R x u(y) dy.
Selected aspects of the Korteweg-de Vries equation • 0 = 2(v1)x + uv0 + (v0)xx = 2(v1)x + uv0 implies v1(x) =− v0 2 R x u(y) dy
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.324549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 914f4827-0426-4353-a0d3-070c46381bca · outbound
This paper cites 0 = Lt + [L, M] holds true if and only if the coe fficients of vxxxx , vxxx, vxx, vx, and v vanish.
Selected aspects of the Korteweg-de Vries equation 0 = Lt + [L, M] holds true if and only if the coe fficients of vxxxx , vxxx, vxx, vx, and v vanish
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.310815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cf7ac92a-25e4-43da-a01e-c0f45b1fbf7f · outbound
This paper cites If the underlying field is commutative one may hope for a reasonable number of terms arising from the commutator in the Lax equation to cancel each other.
Selected aspects of the Korteweg-de Vries equation If the underlying field is commutative one may hope for a reasonable number of terms arising from the commutator in the Lax equation to cancel each other
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.295772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c48661a0-d539-449f-b546-1805963ecf1e · outbound
This paper cites /∂ is a Dirac type operator in the sense that/∂◦ /∂ = ∆ where ∆ is the 3-dimensional Laplace operator.
Selected aspects of the Korteweg-de Vries equation /∂ is a Dirac type operator in the sense that/∂◦ /∂ = ∆ where ∆ is the 3-dimensional Laplace operator
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.282102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6d7bdcec-d22c-4225-b2b3-f96226534050 · outbound
This paper cites When studying the conditions for L t + [L, M] = 0, then the coefficient of v is given by ut− a∂1u− b∂2u− c∂3u which yields ut + /∂(u) = 0 if and only if a =−i and b =− j and c =−k.
Selected aspects of the Korteweg-de Vries equation When studying the conditions for L t + [L, M] = 0, then the coefficient of v is given by ut− a∂1u− b∂2u− c∂3u which yields ut + /∂(u) = 0 if and only if a =−i and b =− j and c =−k
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.266909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e64034c5-afd4-48cd-8cba-ff1cc6a942e5 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.252369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 922e3278-5fa6-4689-8177-ba2bf02feb04 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.238370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0ea371c2-3739-4ee4-9fd1-cd1a4b4fec53 · outbound
This paper cites In this sec- tion, we will give an introductory overview of quantum mechanics and scattering theory to clarify some aspects of the physics behind the scattering scheme.
Selected aspects of the Korteweg-de Vries equation In this sec- tion, we will give an introductory overview of quantum mechanics and scattering theory to clarify some aspects of the physics behind the scattering scheme
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.224534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f4a142b-c7c4-47dc-8f28-e1797dcc1516 · outbound
This paper cites We will examine the L-operator associated with the KdV equation and show that its asymptotic analysis corresponds to the previously illustrated physical setting.
Selected aspects of the Korteweg-de Vries equation We will examine the L-operator associated with the KdV equation and show that its asymptotic analysis corresponds to the previously illustrated physical setting
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.209551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a4f61e73-a927-4c9f-9654-802d27ffd3ca · outbound
This paper cites Let e∈ R and consider a Schr¨odinger equation with a potential u(x)∈ P1, (3.14) −∂2 x f + u(x) f = e f.
Selected aspects of the Korteweg-de Vries equation Let e∈ R and consider a Schr¨odinger equation with a potential u(x)∈ P1, (3.14) −∂2 x f + u(x) f = e f
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.195383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation caee7550-fe38-4290-b21d-64ba5095259b · outbound
This paper cites Integration paths: γ+ andγ− whereδ(x) is the Dirac delta function.
Selected aspects of the Korteweg-de Vries equation Integration paths: γ+ andγ− whereδ(x) is the Dirac delta function
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.179753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 50450a1f-c712-4d2d-ac8f-4b3f098e01f3 · outbound
This paper cites an unresolved cited work.
Selected aspects of the Korteweg-de Vries equation Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:15:35.165531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 35397aeb-1cfb-468a-a1e1-a6402cae04d3 · outbound
This paper cites This implies (3.29) lim x→+∞ W(φk(x),∂ kφk(x))− lim x→−∞ W(φk(x),∂ kφk(x)) =−2k ∞Z −∞ φ2 k(x)dx.
Selected aspects of the Korteweg-de Vries equation This implies (3.29) lim x→+∞ W(φk(x),∂ kφk(x))− lim x→−∞ W(φk(x),∂ kφk(x)) =−2k ∞Z −∞ φ2 k(x)dx
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.150678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bd532935-a22f-4e45-89f4-80ed14b9bdd3 · outbound
This paper cites As in the previous subsection, the asymptotic behavior will take a central role in the procedure.
Selected aspects of the Korteweg-de Vries equation As in the previous subsection, the asymptotic behavior will take a central role in the procedure
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.136006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5b1dbf2d-80b2-40a0-91f0-03f4caff6ecc · outbound
This paper cites See [ Bro].
Selected aspects of the Korteweg-de Vries equation See [ Bro]
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:15:35.122293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7d1ebf00-a46c-4e8d-ad64-10f4b5b6aaed · outbound
This paper cites From Euclidean field theory to hyperk\"ahler Floer theory via regularized polysymplectic geometry.
Selected aspects of the Korteweg-de Vries equation From Euclidean field theory to hyperk\"ahler Floer theory via regularized polysymplectic geometry
Reference 44
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T11:15:35.107681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 2ae4f968-e249-4eb1-8e8e-49b9e8b0b619 · inbound
Hamiltonian formulation of the supersymmetric KdV equation cites this paper.
Hamiltonian formulation of the supersymmetric KdV equation Selected aspects of the Korteweg-de Vries equation
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T03:55:57.051281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.