Asymptotic analysis of multi-valley dark soliton solutions in defocusing coupled Hirota equations  

作　　者：Ziwei Jiang Liming Ling 

机构地区：[1]Department of Mathematics,South China University of Technology,Guangzhou 510641,China

出　　处：《Communications in Theoretical Physics》2023年第11期38-48,共11页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12122105).

摘　　要：We construct uniform expressions of such dark soliton solutions encompassing both single-valley and double-valley dark solitons for the defocusing coupled Hirota equation with high-order nonlinear effects utilizing the uniform Darboux transformation,in addition to proposing a sufficient condition for the existence of the above dark soliton solutions.Furthermore,the asymptotic analysis we perform reveals that collisions for single-valley dark solitons typically exhibit elastic behavior;however,collisions for double-valley dark solitons are generally inelastic.In light of this,we further propose a sufficient condition for the elastic collisions of double-valley dark soliton solutions.Our results offer valuable insights into the dynamics of dark soliton solutions in the defocusing coupled Hirota equation and can contribute to the advancement of studies in nonlinear optics.

关 键 词：coupled Hirota equation uniform Darboux transformation dark soliton solution asymptotic analysis 

分 类 号：O175.29[理学—数学]