The third kind of Darboux transformation and multisoliton solutions for generalized Broer Kaup equations

Abstract

In this paper, the third kind of Darboux transformation of generalized Broer Kaup equations is derived from the corresponding spectral problem. By virtue of this Darboux transformation, new 2N-soliton solutions with parameters of the generalized Broer Kaup equations are obtained. Although 2N is an even number, it is graphically shown that in the cases of N= 1 and N = 2 the obtained 2N-soliton solutions can degenerate into M-soliton solutions for any positive integer M less than 2N .