Asymptotic analysis on bright solitons and breather solutions of a generalized higher-order nonlinear Schrödinger equation in an optical fiber or a planar waveguide  

作　　者：Xin Zhao Zhong Du Li-Jian Zhou Rong-Xiang Liu Xu-Hu Wang 赵鑫;杜仲;周立俭;刘荣香;王绪虎(College of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China;Department of Mathematics and Physics,and Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding 071003,China)

机构地区：[1]College of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China [2]Department of Mathematics and Physics,and Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding 071003,China

出　　处：《Chinese Physics B》2024年第11期154-160,共7页中国物理B（英文版）

基　　金：Project supported by the the Fundamental Research Funds for the Central Universities(Grant No.2023MS163).

摘　　要：We study a generalized higher-order nonlinear Schr¨odinger equation in an optical fiber or a planar waveguide.We obtain the Lax pair and N-fold Darboux transformation(DT)with N being a positive integer.Based on Lax pair obtained by us,we derive the infinitely-many conservation laws.We give the bright one-,two-,and N-soliton solutions,and the first-,second-,and Nth-order breather solutions based on the N-fold DT.We conclude that the velocities of the bright solitons are influenced by the distributed gain function,g(z),and variable coefficients in equation,h_(1)(z),p_(1)(z),r_(1)(z),and s_(1)(z)via the asymptotic analysis,where z represents the propagation variable or spatial coordinate.We also graphically observe that:the velocities of the first-and second-order breathers will be affected by h_(1)(z),p_(1)(z),r_(1)(z),and s_(1)(z),and the background wave depends on g(z).

关 键 词：optical fiber planar waveguide Darboux transformation bright soliton BREATHER 

分 类 号：O175.29[理学—数学]