Auxiliary equation method for the mKdV equation with variable coefficients |
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Authors: | Shimin Guo Yubin Zhou |
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Institution: | School of Mathematics and Statistics, Lanzhou University Lanzhou, Gansu 730000, China |
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Abstract: | By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of nonlinear evolution equations with variable coefficients. Being concise and straightforward, this method is applied to the mKdV equation with variable coefficients. As a result, new explicit solutions including solitary wave solutions and trigonometric function solutions are obtained with the aid of symbolic computation. |
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Keywords: | Nonlinear evolution equations Auxiliary equation method mKdV equation with variable coefficients Solitary wave solution |
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