TY - JOUR AU - Zhang, Sheng AU - Wang, Zhaoyu PY - 2017 TI - Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients JO - Journal of Nonlinear Sciences and Applications SP - 2324--2339 VL - 10 IS - 5 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.05.05 DO - 10.22436/jnsa.010.05.05 ID - Zhang2017 ER -