文献类型：期刊文献

英文题名：Explicit Nth order solutions of Fokas-Lenells equation based on revised Riemann-Hilbert approach

作者：Zhang, Yongshuai[1];Qiu, Deqin[2];He, Jingsong[3]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Huizhou Univ, Sch Math & Stat, Huizhou 516007, Guangdong, Peoples R China;[3]Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China

年份：2023

卷号：64

期号：5

外文期刊名：JOURNAL OF MATHEMATICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:001010738700002)、、Scopus(收录号：2-s2.0-85159655029)、WOS

基金：ACKNOWLEDGMENTSThis work was supported by the National Natural Science Foundation of China (Grant Nos. 12171433 and 12071304). This work was supported by the Doctoral research foundation project of Huizhou University (Grant No. 2022JB039).

语种：英文

外文摘要：We develop a revised Riemann-Hilbert problem (RHP) to the Fokas-Lenells (FL) equation with a zero boundary condition, satisfying the normalization condition, and the potential of the FL equation is recovered from the asymptotic behavior of RHP when the spectral parameter goes to zero. Under the reflection-less situation, we consider the RHP with 2N simple poles and two Nth order poles, respectively, and obtain the explicit formulas of Nth order soliton and positon solutions. As applications, the first-order soliton, the second-order soliton, and positon are displayed. Additionally, the collisions of N solitons are studied, and the phase shift and space shift are displayed.