Dual-wavelength pumped latticed Fermi-Pasta-Ulam recurrences in nonlinear Schrödinger equation

作     者：张倩 姚献坤 董恒 Qian Zhang;Xiankun Yao;Heng Dong

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

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2024年第33卷第3期

页      面：277-280页

核心收录：

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

基　　金：Project supported by the National Natural Science Foundation of China(NSFC)(Grant No.12004309) the Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.22JSQ036) the Scientific Research Program funded by Shaanxi Provincial Education Department(Grant No.20JK0947) 

主　　题：modulation instability dual-wavelength pumps latticed-Fermi-Pasta-Ulam recurrences 

摘      要：We show that the nonlinear stage of the dual-wavelength pumped modulation instability(MI)in nonlinear Schrödinger equation(NLSE)can be effectively analyzed by mode truncation *** resulting complicated heteroclinic structure of instability unveils all possible dynamic trajectories of nonlinear ***,the latticed-Fermi-Pasta-Ulam recurrences on the modulated-wave background in NLSE are also investigated and their dynamic trajectories run along the Hamiltonian contours of the heteroclinic *** is demonstrated that there has much richer dynamic behavior,in contrast to the nonlinear waves reported *** novel nonlinear wave promises to inject new vitality into the study of MI.