Extended Generalized Hyperbolic-function Method and New Exact Solutions of the Generalized Hamiltonian and NNV Equations by the Symbolic Computation

In this paper, with the aid of the computerized symbolic computation, we present an extended generalized hyperbolic-function method. Being concise and straightforward, it can be applicable to seek more types of solutions for certain nonlinear evolution equations (NLEES). In illustration, we choose the generalized Hamiltonian equations and the (2 + 1)-dimensional Nizhnik-Novikov-Veselov (NNV) equations to demonstrate the validity and advantages of the method. As a result, abundant new exact solutions are obtained including soliton-like solutions, traveling wave solutions etc. The method can be also applied to other nonlinear partial differential equations (NPDEs).

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