文献类型：期刊文献

英文题名：The Riemann-Hilbert approach for the Chen-Lee-Liu equation and collisions of multiple solitons

作者：Zhang, Yongshuai[1];Lin, Bingwen[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China

年份：2024

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:001139031900001)、、EI(收录号：20240315382010)、Scopus(收录号：2-s2.0-85182243593)、WOS

基金：No Statement Available

语种：英文

外文关键词：Chen-Lee-Liu equation; Riemann-Hilbert approach; Soliton; Cauchy-Binet formula; Asymptotic analysis

外文摘要：We consider the Riemann-Hilbert method for the Chen-Lee-Liu equation with a vanishing boundary condition. By analyzing the asymptotic, analytic, and symmetric properties of the Jost solutions, we display the expression of scattering coefficients, theta condition, and the residue conditions. A revised Riemann-Hilbert problem (RHP) is constructed from the Jost solutions, which satisfies the normalization condition. By assuming that the RHP has simple poles, we solve the RHP and display the raw formulae for N-th order solitons of the CLL equation. By applying the Cauchy-Binent formula, we present the explicit formulae for N-th order solitons and consider the exciting collisions of the multiple solitons.