Darboux transformations for \((2+1)\)-dimensional extensions of the KP hierarchy

DOI10.3842/SIGMA.2015.028zbMath1319.35210arXiv1303.6509OpenAlexW1988682025MaRDI QIDQ2353206

Yuriy Sydorenko, Oleksandr Chvartatskyi

Publication date: 8 July 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6509

zbMATH Keywords

Davey-Stewartson equationbinary Darboux transformationsymmetry constraintsKP equation with self-consistent sourcesKadomtsev-Petviashvili (KP) hierarchy

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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