Abstract
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 using the Jacobian elliptic function expansion method,the Darboux transformation(DT)method and the nonlinearization of the Lax pair,two kinds of rogue wave solutions which are expressed by Jacobian elliptic functions dn and cn,are obtained.The relationship between these five kinds of potential is summarized systematically.Firstly,the periodic rogue wave solution of one potential is obtained,and then the periodic rogue wave solutions of the other four potentials are obtained directly.The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.
基金项目
国家自然科学基金(12361 052)
内蒙古自治区自然科学基金(2020LH01010)
内蒙古自治区自然科学基金(2022ZD05)
Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(NMGIRT2414)
Fundamental Research Funds for the Inner Mongolia Normal University,China(2022JBTD007)
Key Laboratory of Infinitedimensional Hamiltonian System and Its Algorithm Application(Inner Mongolia Normal University)()
教育部项目(2023KFZR01)
教育部项目(2023KFZR02)
NETL
NSTL
万方数据