Bäcklund transformation, non-local symmetry and exact solutions for \((2+1)\)-dimensional variable coefficient generalized KP equations

DOI10.1016/S1007-5704(00)90021-2zbMath0962.37038MaRDI QIDQ1570385

Zhenya Yan

Publication date: 19 June 2001

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationintegrable modelnonlocal symmetrygeneralized KP equation

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Two-soliton solution to a generalized KP equation with general variable coefficients ⋮ Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients ⋮ Shock wave solution of the variable coefficient nonlinear partial differential equations

Cites Work

• Bäcklund transformation and exact solutions for \((2+1)\)-dimensional Kolmogorov-Petrovsky-Piscounov equation
• Solitary wave solutions for variant Boussinesq equations
• New exact solutions to a solutions to a system of coupled KdV equations
• Exact solutions for a compound KdV-Burgers equation
• Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
• Unnamed Item

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