A further extended tanh-function method and new soliton-like solutions to the integrable Broer--Kaup (BK) equations in (2+1) dimensional spaces.

DOI10.1016/S0096-3003(02)00793-2zbMath1033.65088MaRDI QIDQ1412624

Hong-Qing Zhang, De-Sheng Li

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

solitary wavesextended tanh-function methodExact solutionsintegrable Broer-Kaup equations in \((2+1)\)-dimensional spacesSoliton-like solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

Exact solutions and conservation laws for a generalized double combined sinh-cosh-Gordon equation ⋮ On the numerical solution of the Burgers's equation ⋮ New exact solutions for a generalized double sinh-Gordon equation

Cites Work

• Generalized tanh method with symbolic computation and generalized shallow water wave equation
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• New family of overturning soliton solutions for a typical breaking soliton equation
• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Extended tanh-function method and its applications to nonlinear equations
• Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
• Solitary wave solutions of nonlinear wave equations
• A family of exact travelling wave solutions to nonlinear evolution and wave equations

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