Hierarchies of nonlinear integrable equations and their symmetries in \(2+1\) dimensions

DOI10.1016/0167-2789(90)90041-MzbMath0717.35075OpenAlexW2072021979MaRDI QIDQ2638443

Yi. Cheng

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90041-m

zbMATH Keywords

symmetrieshierarchiesmodified Kadomtsev-Petviashvili equationcommutability

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (4)

Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations ⋮ Lie algebraic structures of some (1+2)-dimensional Lax integrable systems. ⋮ Lie algebras and Hamiltonian structures of multi-component Ablowitz–Kaup–Newell–Segur hierarchy ⋮ New set of symmetries and Lie algebraic structures of the Toda lattice hierarchy

Cites Work

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• Symmetries and hierarchies of equations for the \((2+1)\)-dimensional N- wave interaction
• Additional symmetries for integrable equations and conformal algebra representation
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Bi-Hamiltonian formulation of the Kadomtsev–Petviashvili and Benjamin–Ono equations
• Integrals of nonlinear equations of evolution and solitary waves

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