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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
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.
MSC:
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
35Q51Soliton-like equations
37K40Soliton theory, asymptotic behavior of solutions
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies