New solitary wave solutions and periodic wave solutions for the compound KdV equation |
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| Authors: | Weiguo Zhang Shaowei Li Lu Zhang Tongke Ning |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, People’s Republic of China |
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| Abstract: | In this paper, for compound KdV equation, four new solitary wave solutions in the form of hyperbolic secant function and six periodic wave solutions in the form of cosine function are obtained by using undetermined coefficient method. On three different layers, the velocity interval which ensures that bell-shaped solitary wave solutions and periodic wave solutions exist synchronously is obtained, respectively. The length of the interval is related to coefficients of the two nonlinear terms. |
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