Abstract
By using a new method and Mathematica, the Backlund transformations for Whitham-Broer-Kaup equations (WBK) are derived. The connections between WBK equation, heat equation and Burgers equation are found, which are used to obtain three families of solutions for WBK equations, one of which is the family of solitary wave solutions.
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Project supported by the National Natural Science Foundation of China and the Pan Deng Projects of China
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Engui, F., Hongqing, Z. Backlund transformation and exact solutions for whitham-broer-kaup equations in shallow water. Appl Math Mech 19, 713–716 (1998). https://doi.org/10.1007/BF02457745
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DOI: https://doi.org/10.1007/BF02457745