Riemann-Hilbert approach and soliton solutions for the Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions  

作　　者：Yilin Wang Biao Li 

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China

出　　处：《Communications in Theoretical Physics》2024年第11期20-32,共13页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144 and 12235007;the KC Wong Magna Fund in Ningbo University。

摘　　要：We construct the Riemann-Hilbert problem of the Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions,and use the Laurent expansion and Taylor series expansion to obtain the exact formulas of the soliton solutions in the case of a higher-order pole and multiple higher-order poles.The dynamic behaviors of a simple pole,a second-order pole and a simple pole plus a second-order pole are demonstrated.

关 键 词：Lakshmanan-Porsezian-Daniel equation Riemann-Hilbert problem nonzero boundary conditions multiple higher-order poles 

分 类 号：O175.29[理学—数学]