Various breathers and rogue waves for the coupled long-wave-short-wave system

Advances in Difference Equations

Chuanjian Wang¹  Zhengde Dai² 

[1] Department of Mathematics, Kunming University of Science and Technology, Kunming, P.R. China;School of Mathematics and Physics, Yunnan University, Kunming, P.R. China

关键词: coupled long-wave-short-wave system;    Hirota two-soliton method;    breather;    rogue wave;   

DOI  :  10.1186/1687-1847-2014-87

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Explicit forms of various breathers, including inclined periodic breather, Akhmediev breather, Ma breather and rogue wave solutions, are obtained for the coupled long-wave-short-wave system by using a Hirota two-soliton method with complex frequency and complex wave number. Based on the structures of these breather solutions and figures via computer simulation, the characteristics of various breather solutions are discussed which might provide us with useful information on the dynamics of the relevant physical fields.

【 授权许可】

CC BY