Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions |
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Authors: | Bo Tian Yi-Tian Gao |
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Affiliation: | Department of Applied Mathematics and Physics Beijing University of Aeronautics and Astronautics, Beijing 100083, P.R. China |
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Abstract: | To certain nonlinear evolution equations, the tanh method has been generalized for constructing not only solitary-wave but also soliton-like solutions. In this paper, no loss of conciseness, we further extend the generalized tanh method with computerized symbolic computation to a pair of generalized Hamiltonian equations. A new family of soliton-like analytical solutions is obtained, of which the solitary waves and previously-claimed soliton-like solutions are shown to be the special cases. |
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Keywords: | Generalized tanh method Generalized Hamiltonian equations Computerized symbolic computation Soliton-like solutions Solitary waves |
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