Dynamical analysis and localized waves of the n-component nonlinear Schrödinger equation with higher-order effects  

作　　者：Yu Lou Guoan Xu 娄瑜;许国安

机构地区：[1]Public Basic Education Department,Zhejiang Industry Polytechnic College,Shaoxing 312000,China [2]School of Mathematical Science,Huaqiao University,Quanzhou 362021,China

出　　处：《Chinese Physics B》2025年第3期204-213,共10页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.12271096);the Natural Science Foundation of Fujian Province(Grant No.2021J01302)。

摘　　要：Under investigation is the n-component nonlinear Schrödinger equation with higher-order effects,which describes the ultrashort pulses in the birefringent fiber.Based on the Lax pair,the eigenfunction and generalized Darboux transformation are derived.Next,we construct several novel higher-order localized waves and classified them into three categories:(i)higher-order rogue waves interacting with bright/antidark breathers,(ii)higher-order breather fission/fusion,(iii)higherorder breather interacting with soliton.Moreover,we explore the effects of parameters on the structure,collision process and energy distribution of localized waves and these characteristics are significantly different from previous ones.Finally,the dynamical properties of these solutions are discussed in detail.

关 键 词：n-component nonlinear Schrödinger equation with higher-order effects generalized Darboux transformation localized waves soliton BREATHER rogue wave 

分 类 号：O17[理学—数学]