Darboux type theorems and transformation operators for nonlocal reduced Hermitian Kadomtsev-Petviashvili hierarchy (H\(k\)-cKP)

zbMath1094.35105MaRDI QIDQ2488557

Yu. Yu. Berkela, Yu. M. Sydorenko

Publication date: 24 May 2006

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

solitonDarboux transformationsDarboux type transformationHermitian Kadomtsev-Petviashvili hierarchynon-local reduced Kadomtsev-Petviashvili 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy

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