首页|Rogue waves for the(2+1)-dimensional Myrzakulov-Lakshmanan-Ⅳ equation on a periodic background

Rogue waves for the(2+1)-dimensional Myrzakulov-Lakshmanan-Ⅳ equation on a periodic background

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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.

rogue waves on a periodic background(2+1)-dimensional Myrzakulov-Lakshmanan-Ⅳ equationDarboux transformationJacobian elliptic function

Xiao-Hui Wang、Zhaqilao

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College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China

Laboratory of Infinite-dimensional Hamiltonian System and Its algorithm Application,Hohhot 010022,China

Center for Applied Mathematical Science,Inner Mongolia,Hohhot 010022,China

国家自然科学基金内蒙古自治区自然科学基金内蒙古自治区自然科学基金Program for Innovative Research Team in Universities of Inner Mongolia Autonomous RegionFundamental Research Funds for the Inner Mongolia Normal University,ChinaKey Laboratory of Infinitedimensional Hamiltonian System and Its Algorithm Application(Inner Mongolia Normal University)教育部项目教育部项目

12361 0522020LH010102022ZD05NMGIRT24142022JBTD0072023KFZR012023KFZR02

2024

10.1088/1572-9494/ad2c78

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子：0.333
ISSN：0253-6102
年,卷(期)：2024.76(4)
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