Breather and its interaction with rogue wave of the coupled modified nonlinear Schrodinger equation  

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作  者:王明 徐涛 何国亮 田雨 Ming Wang;Tao Xu;Guoliang He;Yu Tian(School of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)

机构地区:[1]School of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China

出  处:《Chinese Physics B》2023年第5期350-356,共7页中国物理B(英文版)

基  金:the National Natural Science Foundation of China(Grant Nos.11871232 and 12201578);Natural Science Foundation of Henan Province,China(Grant Nos.222300420377 and 212300410417)。

摘  要:We investigate the coupled modified nonlinear Schr?dinger equation.Breather solutions are constructed through the traditional Darboux transformation with nonzero plane-wave solutions.To obtain the higher-order localized wave solution,the N-fold generalized Darboux transformation is given.Under the condition that the characteristic equation admits a double-root,we present the expression of the first-order interactional solution.Then we graphically analyze the dynamics of the breather and rogue wave.Due to the simultaneous existence of nonlinear and self-steepening terms in the equation,different profiles in two components for the breathers are presented.

关 键 词:coupled modified nonlinear Schr?dinger equation Darboux transformation BREATHER rouge wave 

分 类 号:O175.29[理学—数学]

 

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