New constraint on the KP equation and a coupled Burgers system

DOI10.1016/0375-9601(94)01023-NzbMath1020.35522OpenAlexW1968694931MaRDI QIDQ1965451

Yanyan Li

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)01023-n

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

Infinitely many Lax pairs and symmetry constraints of the KP equation ⋮ Broer-Kaup system revisit: inelastic interaction and blowup solutions ⋮ On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations ⋮ On integrable coupled Burgers-type equations ⋮ New hierarchy of integrable system bi-Hamiltonian structure and constrained flows

Cites Work

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• Nonlinearization of the Lax system for AKNS hierarchy
• Modifications of \(k\)-constrained KP hierarchy
• The Painlevé property for partial differential equations
• New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
• (1+1)-dimensional integrable Hamiltonian systems reduced from symmetry constraints of the KP hierarchy

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