On the (modified) Kadomtsev-Petviashvili hierarchy

zbMath0830.35117MaRDI QIDQ1343181

Friedrich Gesztesy, Karl Unterkofler

Publication date: 1 February 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationssoliton solutionspseudo-differential operatorKadomtsev-Petviashvili hierarchymatrix-valued Lax operator

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

A New Class of Soliton Solutions for the (Modified) Kadomtsev-Petviashvili Equation ⋮ On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy

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