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

Authors : Sheng ZHANG, Dongdong LIU

Pages : 165-177

Doi:10.3906/fiz-1411-9

View : 17 | Download : 9

Publication Date : 0000-00-00

Article Type : Research Paper

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 2$N$-soliton solutions with parameters of the generalized Broer-Kaup equations are obtained. Although 2$N$ is an even number, it is graphically shown that in the cases of $N $= 1 and $N$ = 2 the obtained 2$N$-soliton solutions can degenerate into $M$-soliton solutions for any positive integer $M$ less than 2$N$.
Keywords : Darboux transformation, multisoliton solution, spectral problem, generalized Broer Kaup equations