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Riemann-Hilbert approach and soliton solutions for the Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
《Communications in Theoretical Physics》2024年第11期20-32,共13页Yilin Wang Biao Li 
supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144 and 12235007;the KC Wong Magna Fund in Ningbo University。
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 solit...
关键词：Lakshmanan-Porsezian-Daniel equation Riemann-Hilbert problem nonzero boundary conditions multiple higher-order poles 
Rogue waves for the(2+1)-dimensional Myrzakulov–Lakshmanan-Ⅳ equation on a periodic background
《Communications in Theoretical Physics》2024年第4期32-42,共11页Xiao-Hui Wang Zhaqilao 
supported by the National Natural Science Foundation of China (Grant No. 12 361 052);the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant Nos. 2020LH01010, 2022ZD05);the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region (Grant No. NMGIRT2414);the Fundamental Research Funds for the Inner Mongolia Normal University, China (Grant No. 2022JBTD007);the Key Laboratory of Infinite-dimensional Hamiltonian System and Its Algorithm Application (Inner Mongolia Normal University), and the Ministry of Education (Grant Nos. 2023KFZR01, 2023KFZR02)
In this paper, the rogue wave solutions of the(2+1)-dimensional Myrzakulov–Lakshmanan(ML)-Ⅳ equation, which is described by five component nonlinear evolution equations, are studied on a periodic background. By usin...
关键词：rogue waves on a periodic background (2+1)-dimensional Myrzakulov-Lakshmanan-IV equation Darboux transformation Jacobian elliptic function 
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