%0 Journal Article %T Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients %A Zhang, Sheng %A Wang, Zhaoyu %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 5 %@ ISSN 2008-1901 %F Zhang2017 %X 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. %9 journal article %R 10.22436/jnsa.010.05.05 %U http://dx.doi.org/10.22436/jnsa.010.05.05 %P 2324--2339