Riemann-Hilbert approach and multiple high-order pole solutions for the AB system  

作　　者：Wenjing Li Yi Zhang Xiaolin Yang 

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Communications in Theoretical Physics》2024年第11期33-41,共9页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.11371326 and No.12271488)。

摘　　要：This article's purpose is to investigate multiple high-order pole solutions for the AB system by the Riemann-Hilbert(RH)approach.We establish the RH problem through using spectral analysis to the Lax pair.Then the RH problem can be resolved and the soliton solution's formula can be given by using the Laurent expansion method.Finally,we get special soliton solutions,including dark solitons,W-type dark solitons and multiple high-pole solutions.In addition,the W-type dark soliton solutions will occur when the spectral parameters are purely imaginary.

关 键 词：AB system Riemann-Hilbert approach multiple high-pole solutions 

分 类 号：O175[理学—数学]