文献类型：期刊文献

英文题名：Explicit multiple solitons of the mixed Chen-Lee-Liu equation derived from the Riemann-Hilbert approach

作者：Zheng, Yumin[1];Yang, Yunqing[1];Zhang, Yongshuai[2];Liu, Wei[3,4]

机构：[1]Zhejiang Univ Sci & Technol, Dept Math, Hangzhou, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing, Peoples R China;[3]Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai, Shandong, Peoples R China;[4]Yantai Key Lab Big Data Modeling & Intelligent Com, Yantai, Shandong, Peoples R China

年份：2024

卷号：220

期号：3

起止页码：1515

外文期刊名：THEORETICAL AND MATHEMATICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:001319103800009)、、Scopus(收录号：2-s2.0-85204902214)、WOS

基金：This work is supported by the National Natural Science Foundation of China (grant Nos. 12171433 and 12075208) and Fundamental Research Projects of Science & Technology Innovation and Development Plan in Yantai City (grant No. 2023YT06000660).

语种：英文

外文关键词：mixed CLL equation; Riemann-Hilbert approach; soliton solutions; asymptotic analysis; Cauchy-Binet formula

外文摘要：The Riemann-Hilbert approach is applied to the mixed Chen-Lee-Liu equation. The corresponding Jost solutions are found, the analytic, asymptotic and symmetric properties of Jost solutions are studied, and a modified Riemann-Hilbert problem is constructed that satisfies the normalization condition. The formulas for multiple solitons related to the simple poles of the Riemann-Hilbert problem are given in determinant form. According to the Cauchy-Binet formula, the formulas for multiple solitons are given explicitly. Based on these explicit formulas, the first- and second-order solitons are obtained, and the multiple-soliton collisions are verified to be elastic.