Generalized transformations and abundant new families of exact solutions for (2 + 1)-dimensional dispersive long wave equations

DOI10.1016/S0898-1221(03)90225-2zbMath1064.35030MaRDI QIDQ597267

Zhenya Yan

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Riccati equationsolitary wave solutionperiodic wave solution.variant Boussinesq equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Nonlinear higher-order PDEs (35G20) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (7)

Oblique traveling wave closed-form solutions to space-time fractional coupled dispersive long wave equation through the generalized exponential expansion method ⋮ Many new exact solutions to \((2+1)\)-dimensional Burgers equation and Klein-Gordon equation using symbolic computation ⋮ Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Exact solutions for fractional partial differential equations by a new fractional sub-equation method ⋮ A new extended Riccati equation rational expansion method and its application ⋮ A new compound Riccati equations rational expansion method and its application to the \((2 + 1)\)-dimensional asymmetric Nizhnik-Novikov-Vesselov system ⋮ Solutions for space-time fractional \((2+1)\)-dimensional dispersive long wave equations

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