Controllable rogue waves in coupled nonlinear Schrodinger equations with varying potentials and nonlinearities

被引：21
|
作者：
Cheng, Xueping [1 ]
Wang, Jianyong [2 ]
Li, Jinyu [1 ]
机构：
[1] Zhejiang Ocean Univ, Dept Phys, Zhoushan 316004, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 77卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Rogue wave solution; Coupled nonlinear Schrodinger equations; Similarity transformation; SIMILARITY REDUCTIONS; SOLITON-SOLUTIONS; INTEGRABILITY; SYSTEM; GAS;
D O I：
10.1007/s11071-014-1316-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Exact rogue wave solutions, including the first-order rogue wave solutions and the second-order ones, are constructed for the system of two coupled nonlinear Schrodinger (NLS) equations with varying potentials and nonlinearities. The method employed in this paper is the similarity transformation, which allows us to map the inhomogeneous coupled NLS equations with variable coefficients into the integrable Manakov system, whose explicit solutions have been well studied before. The result shows that the rogue wavelike solutions obtained by this transformation are controllable. Concretely, we illustrate how to control the trajectories of wave centers and the evolutions of wave peaks, and analyze the dynamic behaviors of the rogue wavelike solutions.
引用
收藏
页码：545 / 552
页数：8
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