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

被引：15
|
作者：
Zhang, Sheng [1 ]
Liu, Dong-Dong [1 ]
机构：
[1] Bohai Univ, Sch Math & Phys, Jinzhou, Peoples R China
来源：
TURKISH JOURNAL OF PHYSICS | 2015年 / 39卷 / 02期
关键词：
Darboux transformation; multisoliton solution; spectral problem; generalized Broer-Kaup equations;
D O I：
10.3906/fiz-1411-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：165 / 177
页数：13
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