Differential reductions of the Kadomtsev–Petviashvili equation and associated higher dimensional nonlinear PDEs

DOI10.1088/1751-8113/42/44/445208zbMath1179.35300arXiv0905.2093OpenAlexW1974976555MaRDI QIDQ3645356

A. I. Zenchuk

Publication date: 18 November 2009

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

Full work available at URL: https://arxiv.org/abs/0905.2093

zbMATH Keywords

Korteweg-de Vries equationKadomtsev-Petviashvili equationBürgers hierarchyFrobenius-type reductions

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)

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