Topological soliton solutions for three shallow water waves models |
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| Authors: | Jiangen Liu Yan Wang |
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| Affiliation: | 1. School of Mathematics, China University of Mining and Technology, Xuzhou, People’s Republic of China.;2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, People’s Republic of China. |
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| Abstract: | In this article, we investigate three distinct physical structures for shallow water waves models by the improved ansatz method. The method was improved and can be used to obtain more generalized form topological soliton solutions than the original method. As a result, some new exact solutions of the shallow water equations are successfully established and the obtained results are exhibited graphically. The results showed that the improved ansatz method can be applied to solve other nonlinear differential equations arising from mathematical physics. |
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