Solitonic attractors in the coupled nonlinear Schrödinger equations with weak dissipations

作     者：Kai-Yuan Qi Xian-kun Yao Li-Chen Zhao Zhan-Ying Yang Kai-Yuan Qi;Xian-kun Yao;Li-Chen Zhao;Zhan-Ying Yang

作者机构：School of PhysicsNorthwest UniversityXi’an 710127China NSFC-SPTP Peng Huanwu Center for Fundamental TheoryXi’an 710127China Shaanxi Key Laboratory for Theoretical Physics FrontiersXi’an 710127China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2023年第75卷第6期

页      面：22-26页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Contract No.12022513,12235007) the Major Basic Research Program of Natural Science of Shaanxi Province(Grant No.2018KJXX-094) 

主　　题：coupled nonlinear systems weak dissipation solitonic attractor 

摘      要：We use the Lagrangian perturbation method to investigate the properties of soliton solutions in the coupled nonlinear Schrödinger equations subject to weak *** study reveals that the two-component soliton solutions act as fixed-point attractors,where the numerical evolution of the system always converges to a soliton solution,regardless of the initial ***,the fixed-point attractor appears as a soliton solution with a constant sum of the two-component intensities and a fixed soliton velocity,but each component soliton does not exhibit the attractor feature if the dissipation terms are *** suggests that one soliton attractor in the coupled systems can correspond to a group of soliton solutions,which is different from scalar *** findings could inspire further discussions on dissipative-soliton dynamics in coupled systems.