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Li, De-Sheng; Zhang, Hong-qing

A further extended tanh-function method and new soliton-like solutions to the integrable Broer–Kaup (BK) equations in (2+1) dimensional spaces. (English) Zbl 1033.65088

Appl. Math. Comput. 147, No. 2, 537-545 (2004).
Summary: Based on an extended tanh-function method, a further extended tanh-function method is suggested to obtain multiple exact solutions for nonlinear partial differential equations, which including soliton-like solutions, solitary waves and trigonometric function solutions. The validity and reliability of the method is tested by its application to the integrable Broer-Kaup equations in \((2+1)\)-dimensional spaces. More new explicit exact solutions are found.

Cited in 3 Documents

MSC:

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

Keywords:

integrable Broer-Kaup equations in \((2+1)\)-dimensional spaces; extended tanh-function method; Soliton-like solutions; Exact solutions; solitary waves
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\textit{D.-S. Li} and \textit{H.-q. Zhang}, Appl. Math. Comput. 147, No. 2, 537--545 (2004; Zbl 1033.65088)
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