Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation

被引：0

作者：

Xiaoyan Liu

Wenjun Liu

Houria Triki

Qin Zhou

Anjan Biswas

机构：

[1] Beijing University of Posts and Telecommunications,State Key Laboratory of Information Photonics and Optical Communications, and School of Science

[2] Badji Mokhtar University,Radiation Physics Laboratory, Department of Physics, Faculty of Sciences

[3] Wuhan Donghu University,School of Electronics and Information Engineering

[4] Alabama A&M University,Department of Physics, Chemistry and Mathematics

[5] King Abdulaziz University,Department of Mathematics

[6] Tshwane University of Technology,Department of Mathematics and Statistics

来源：

Nonlinear Dynamics | 2019年 / 96卷

关键词：

The Hirota bilinear method; Soliton solutions; Periodic attenuating oscillation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

According to the change in the amplitude of the oscillation, it can be divided into equal-amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude-increasing oscillation (divergence oscillation). In this paper, the periodic attenuating oscillation of solitons for a higher-order variable coefficient nonlinear Schrödinger equation is investigated. Analytic one- and two-soliton solutions of this equation are obtained by the Hirota bilinear method. By analyzing the soliton propagation properties, we study how to choose the corresponding parameters to control the soliton propagation and periodic attenuation oscillation phenomena. Results might be of significance for the study of optical communications including soliton control, amplification, compression and interactions.

引用

页码：801 / 809

页数：8