Universal and integrable nonlinear evolution systems of equations in 2+1 dimensions

DOI10.1063/1.532088zbMath0883.58013OpenAlexW2072238993MaRDI QIDQ4351640

Attilio Maccari

Publication date: 29 March 1998

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

Full work available at URL: https://doi.org/10.1063/1.532088

zbMATH Keywords

Lax pairsspectral transformintegrable nonlinear evolution systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• On the integrability of equations of Davey-Stewartson type
• Nonlinear evolution equations, rescalings, model PDEs and their integrability: II
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• The Kadomtsev–Petviashvili equation as a source of integrable model equations