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

Authors

SHENG ZHANG
DONG-DONG LIU

DOI

10.3906/fiz-1411-9

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

First Page

165

Last Page

177

Recommended Citation

ZHANG, SHENG and LIU, DONG-DONG (2015) "The third kind of Darboux transformation and multisoliton solutions for generalized Broer-Kaup equations," Turkish Journal of Physics: Vol. 39: No. 2, Article 8. https://doi.org/10.3906/fiz-1411-9
Available at: https://journals.tubitak.gov.tr/physics/vol39/iss2/8