Rogue wave solutions of the nonlinear Schrödinger eqution with variable coefficients

Pramana

Changfu Liu1²  Chuanjian Wang³  Yan Yan Li²  Zhengde Dai¹  Meiping Gao²  Zeping Wang² 

[1] School of Mathematics and Statistics, Yunnan University, Kunming, 650091, People's Republic of China$$;School of Mathematics, Wenshan University, Wenshan, 663000, People's Republic of China$$;School of Science, Kunming University of Science and Technology, Kunming, 650031, People's Republic of China$$

关键词: Nonlinear Schrödinger equation;    exp-function method;    breather soliton;    rogue wave.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, a unified formula of a series of rogue wave solutions for the standard (1+1)-dimensional nonlinear Schrödinger equation is obtained through exp-function method. Further, by means of an appropriate transformation and previously obtained solutions, rogue wave solutions of the variable coefficient Schrödinger equation are also obtained. Two free functions of time 𝑡 and several arbitrary parameters are involved to generate a large number of wave structures.

【 授权许可】

Unknown