Linear integral equations, infinite matrices, and soliton hierarchies

DOI10.1063/1.5046684zbMath1402.37076arXiv1703.08137OpenAlexW2608776059WikidataQ59883380 ScholiaQ59883380MaRDI QIDQ4583065

Wei Fu, Frank W. Nijhoff

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08137

zbMATH Keywords

integrable systemssolitonsinfinite matrices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General topics in linear spectral theory for PDEs (35P05) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (6)

Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies ⋮ A lattice CKP equation expressed by the \(\tau\) function ⋮ On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ A variational perspective on continuum limits of ABS and lattice GD equations ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations

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