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Electronic Research Archive
Article . 2021 . Peer-reviewed
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Electronic Research Archive
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Article . 2021
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https://dx.doi.org/10.3934/era...
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Integrating evolution equations using Fredholm determinants

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Electronic Research Archive, volume 29, pages 2,141-2,147 (issn: 2688-1594, Copyright policy )
Authors: Tığlay, Feride;

doi: 10.3934/era.2020109

Integrating evolution equations using Fredholm determinants

Abstract

<p style='text-indent:20px;'>We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical physics.</p>

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Keywords

evolution equations, Integral representations of solutions to PDEs, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Hunter-Saxton equation, General topics in linear spectral theory for PDEs, integrability, Initial value problems for nonlinear higher-order PDEs, Fredholm determinants

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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