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The rogue wave of the nonlinear Schrödinger equation with self-consistent sources

Yehui Huang

School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

E-mail Address: yhhuang@ncepu.edu.cn

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Hongqing Jing

School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

E-mail Address: 269389732@qq.com

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Runliang Lin

Department of Mathematical Science, Tsinghua University, Beijing 100084, China

E-mail Address: rlin@math.tsinghua.edu.cn

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, and

Yuqin Yao

Department of Applied Mathematics, China Agricultural University, Beijing 100083, China

E-mail Address: yyqinw@126.com

Corresponding author.

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https://doi.org/10.1142/S0217984918503670Cited by:5 (Source: Crossref)

Abstract

In this paper, we study the nonlinear Schrödinger equation with self-consistent sources, and obtain the rogue wave solution, the breather solution and their interactions by the generalized Darboux transformation. The dynamics of the rogue wave solution, the breather solution and their interactions are analyzed.

Keywords:

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