Turkish Journal of Physics
The third kind of Darboux transformation and multisoliton solutions for generalized Broer-Kaup equations
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$N$.
Darboux transformation, multisoliton solution, spectral problem, generalized Broer-Kaup equations
ZHANG, SHENG and LIU, DONG-DONG
"The third kind of Darboux transformation and multisoliton solutions for generalized Broer-Kaup equations,"
Turkish Journal of Physics: Vol. 39:
2, Article 8.
Available at: https://journals.tubitak.gov.tr/physics/vol39/iss2/8