A generalized auxiliary equation method and its applications |
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Authors: | M. A. Abdou |
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Affiliation: | (1) Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt;(2) Science Department, Faculty of Education for Girls, Bisha, Saudi Arabia |
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Abstract: | In this paper, a generalized auxiliary equation method with the aid of the computer symbolic computation system Maple is proposed to construct more exact solutions of nonlinear evolution equations, namely, the higher-order nonlinear Schrödinger equation, the Whitham–Broer–Kaup system, and the generalized Zakharov equations. As a result, some new types of exact travelling wave solutions are obtained, including soliton-like solutions, trigonometric function solutions, exponential solutions, and rational solutions. The method is straightforward and concise, and its applications are promising. |
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Keywords: | Generalized auxiliary equation method Soliton-like solutions Trigonometric function solution Exponential solution Rational solution |
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