Travelling Wave Solutions for Generalized KdV-mKdV Equation |
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| Authors: | QIN Ya LAI Shao-yong |
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| Institution: | 1. College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641000, China;College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
2. Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China |
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| Abstract: | A technique based on reduction of order for solving ordinary differential equations is developed to find exact solutions for a generalized KdV-mKdV equation that possesses high order nonlinear terms. The analytical expressions of several types of travelling wave solutions for the equation are obtained in terms of sin, cos, tan, cot, sinh, cosh, tanh, coth and algebraic profiles. It is shown that the wave speed of travelling wave solutions and the coefficient of low order derivative term in the equation are two main factors to determine the change in the physical structures of solutions. |
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| Keywords: | Generalized KdV-mKdV equations Order-reduction technique Travelling wave solutions Periodic solutions Explicit expressions |
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