Vector rogue waves in the mixed coupled nonlinear Schrodinger equations

被引:16
作者
Li, Min [1 ]
Liang, Huan [2 ]
Xu, Tao [2 ]
Liu, Changjing [2 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[2] China Univ Petr, Coll Sci, Beijing 102249, Peoples R China
关键词
INTEGRABILITY; MECHANISMS; SOLITONS;
D O I
10.1140/epjp/i2016-16100-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, via the generalized Darboux transformation we derive the reduced and non-reduced vector rogue wave solutions of the focusing-defocusing mixed coupled nonlinear Schrodinger equations. The dynamics of reduced vector rogue waves is the same as that for the known scalar ones. The non-reduced solutions can exhibit both the one-peak-two-valleys structure with one peak and two valleys lying in a straight line, and the two-peaks-two-valleys structure with two peaks and two valleys located at the four vertices of a parallelogram. We also find that the amplitude of the non-reduced vector rogue wave is not three times as that of the exciting plane wave, and that the coalescence of multiple fundamental rogue waves does not generate larger-amplitude rogue waves. In addition, we discuss the relationship of the free parameters in the solutions with the positions and relative distances of rogue waves in the xt-plane.
引用
收藏
页数:10
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