Generalized Darboux transformation for the discrete Kadomtsev-Petviashvili equation with self-consistent sources

DOI10.1134/S0040577918090064zbMath1405.37079OpenAlexW2897195922WikidataQ129100689 ScholiaQ129100689MaRDI QIDQ1716290

Yukun Du, Runliang Lin

Publication date: 4 February 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918090064

zbMATH Keywords

integrable systemDarboux transformationsoliton solutionself-consistent sourcesHirota equationdiscrete Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (3)

On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source ⋮ New type of source extension for a two-dimensional special lattice equation and determinant solutions ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

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