Turkish Journal of Physics
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$N$.
DOI
10.3906/fiz-1411-9
Keywords
Darboux transformation, multisoliton solution, spectral problem, generalized Broer-Kaup equations
First Page
165
Last Page
177
Recommended Citation
ZHANG, S, & LIU, D (2015). The third kind of Darboux transformation and multisoliton solutions for generalized Broer-Kaup equations. Turkish Journal of Physics 39 (2): 165-177. https://doi.org/10.3906/fiz-1411-9
