On skew-symmetric and general deformations of Lax pseudodifferential operators

DOI10.1007/s10958-008-9027-1zbMath1149.37323OpenAlexW2019359576MaRDI QIDQ950865

Boris A. Kupershmidt

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9027-1

zbMATH Keywords

reductionnonlinear deformationKP flowlinearized version

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Uses Software

• OEIS

Cites Work

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• Algebraic aspects of nonlinear differential equations
• Modifying Lax equations and the second Hamiltonian structure
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Mathematics of dispersive water waves
• Extended Equations of Long Waves
• Some Properties of Long Nonlinear Waves