A class of generalized geophysical KdV equation is studied in this paper.By using the method of Painléve analysis,a bilinear transformation with the initial steady-state constant solution is constructed.Furthermore,the explicit and exact solutions of the interaction of two kinds of Lump waves related to initial values with periodic waves and kink waves are obtained by using the hypothetical function method.In addition,according to the structure of the perturbation solution,two bifurcation points of the initial disturbance solution are also obtained.Finally,the interaction modes of Lump wave and periodic wave,Lump wave and kink wave are obtained and displayed by mathematical software under certain parameters.The results show that the initial steady-state solutions of the equation have obvious disturbance characteristics on the development of the generalized geophysical KdV equation.
关键词
广义地球物理KdV方程/双线性法/初值扰动/Lump波/扭结波
Key words
generalized geophysical KdV equation/Bilinear method/initial value disturbance/Lump wave/kink wave
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