Reverse-time type nonlocal Sasa–Satsuma equation and its soliton solutions

作     者：Xue-Wei Yan Yong Chen Xue-Wei Yan;Yong Chen

作者机构：School of MathematicsHarbin Institute of TechnologyHarbin150001China 

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7期

页      面：48-57页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060015) supported by the China Postdoctoral Science Foundation(Grant No.2022M710969) the National Natural Science Foundation of China(No.12101159) 

主　　题：nonlocal Sasa-Satsuma equation Riemann-Hilbert problem soliton solution 

摘      要：In this work,we study the Riemann–Hilbert problem and the soliton solutions for a nonlocal Sasa–Satsuma equation with reverse-time type,which is deduced from a reduction of the coupled Sasa–Satsuma *** the coupled Sasa–Satsuma system can describe the dynamic behaviors of two ultrashort pulse envelopes in birefringent fiber,our equation presented here has great physical *** classification of soliton solutions is studied in this nonlocal model by considering an inverse scattering transform to the Riemann–Hilbert ***,we find that the symmetry relations of discrete data in the special nonlocal model are very ***,the eigenvectors in the scattering data are determined by the number and location of ***,multi-soliton solutions are not a simple nonlinear superposition of multiple *** exhibit some novel dynamics of solitons,including meandering and sudden position ***,they have the bound state of multi-soliton entanglement and its interaction with solitons.