Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients


Authors

Sheng Zhang - School of Mathematics and Physics, Bohai University, Jinzhou 121013, China. Zhaoyu Wang - School of Mathematics and Physics, Bohai University, Jinzhou 121013, China.


Abstract

In this paper, Whitham–Broer–Kaup (WBK) equations with time-dependent coefficients are exactly solved through Hirota’s bilinear method. To be specific, the WBK equations are first reduced into a system of variable-coefficient Ablowitz–Kaup– Newell–Segur (AKNS) equations. With the help of the AKNS equations, bilinear forms of the WBK equations are then given. Based on a special case of the bilinear forms, new one-soliton solutions, two-soliton solutions, three-soliton solutions and the uniform formulae of n-soliton solutions are finally obtained. It is graphically shown that the dynamical evolutions of the obtained one-, two- and three-soliton solutions possess time-varying amplitudes in the process of propagations.


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ISRP Style

Sheng Zhang, Zhaoyu Wang, Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2324--2339

AMA Style

Zhang Sheng, Wang Zhaoyu, Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients. J. Nonlinear Sci. Appl. (2017); 10(5):2324--2339

Chicago/Turabian Style

Zhang, Sheng, Wang, Zhaoyu. "Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2324--2339


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