摘要
We study some novel patterns of rogue wave in the coupled cubic-quintic nonlinear Schr?dinger equations.Utilizing the generalized Darboux transformation, the higher-order rogue wave pairs of the coupled system are generated.Especially, the first-and second-order rogue wave pairs are discussed in detail. It demonstrates that two classical fundamental rogue waves can be emerged from the first-order case and four or six classical fundamental rogue waves from the second-order case. In the second-order rogue wave solution, the distribution structures can be in triangle,quadrilateral and ring shapes by fixing appropriate values of the free parameters. In contrast to single-component systems, there are always more abundant rogue wave structures in multi-component ones. It is shown that the two higher-order nonlinear coefficients ρ_1 and ρ_2 make some skews of the rogue waves.
We study some novel patterns of rogue wave in the coupled cubic-quintic nonlinear Schr？dinger equations.Utilizing the generalized Darboux transformation, the higher-order rogue wave pairs of the coupled system are generated.Especially, the first-and second-order rogue wave pairs are discussed in detail. It demonstrates that two classical fundamental rogue waves can be emerged from the first-order case and four or six classical fundamental rogue waves from the second-order case. In the second-order rogue wave solution, the distribution structures can be in triangle,quadrilateral and ring shapes by fixing appropriate values of the free parameters. In contrast to single-component systems, there are always more abundant rogue wave structures in multi-component ones. It is shown that the two higher-order nonlinear coefficients ρ1 and ρ2 make some skews of the rogue waves.
作者
徐涛
陳偉康
陈勇
Tao Xu;Wai-Hong Chan;Yong Chen(Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062,China;MOE International Joint Lab of Trustworthy Software,East China Normal University,Shanghai 200062,China;Department of Mathematics and Information Technology,The Education University of Hong Kong,Hong Kong,China;Department of Physics,Zhejiang Normal University,Jinhua 321004,China)
基金
Supported by the Global Change Research Program of China under Grant No.2015CB953904
National Natural Science Foundation of China under Grant Nos.11675054,11435005
Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things under Grant No.ZF1213
关键词
波浪能
非线性
方程
联合系统
波浪结构
古典
盒子
部件
higher-order rogue wave pairs
coupled cubic-quintic nonlinear SchrSdinger equations
generalizedDarboux transformation
