On the integrability of multidimensional nonlinear evolution equations

DOI10.1063/1.527665zbMath0663.35066OpenAlexW2022300039MaRDI QIDQ3812658

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527665

zbMATH Keywords

Kadomtsev-Petviashvili equationmultidimensional nonlinear evolution equationsintegrability-test schemelinearized perturbed equationtemporal equation of the Lax pair

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems ⋮ Symmetries and generalized \(W_ \infty\) algebra of the modified KP equation ⋮ Infinitely many Lax pairs and symmetry constraints of the KP equation ⋮ The structure of higher symmetries of nonlinear evolution equations ⋮ Integrable theory of the perturbation equations.

Cites Work

• Degenerative dispersion laws, motion invariants and kinetic equations
• On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
• On the theory of recursion operator
• Soliton Equations, Commutativity Condition and Painleve Property
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Integrals of nonlinear equations of evolution and solitary waves

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