Analytic study on interactions between periodic solitons with controllable parameters

Analytic study on interactions between periodic solitons with controllable parameters Soliton interactions occur when two solitons are close enough. In general, periodic oscillations can be presented during soliton interactions. The periodic oscillations will lead to the soliton distortion, which is necessary to carry out the effective control. In this paper, interactions between periodic solitons with controllable parameters are investigated analytically. One- and two-soliton solutions for the nonlinear Schrödinger equation are derived by using the Hirota’s bilinear method. According to analytic solutions, the influences of each parameter on period interactions between solitons are discussed, and the method of how to control the cycle of interactions is suggested. Results in this paper can be used for the theoretical guidance of how to make the soliton transmission more efficient and more fidelity, and are of great significance for optical fiber communications. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

Analytic study on interactions between periodic solitons with controllable parameters

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-018-4387-7
Publisher site
See Article on Publisher Site

Abstract

Soliton interactions occur when two solitons are close enough. In general, periodic oscillations can be presented during soliton interactions. The periodic oscillations will lead to the soliton distortion, which is necessary to carry out the effective control. In this paper, interactions between periodic solitons with controllable parameters are investigated analytically. One- and two-soliton solutions for the nonlinear Schrödinger equation are derived by using the Hirota’s bilinear method. According to analytic solutions, the influences of each parameter on period interactions between solitons are discussed, and the method of how to control the cycle of interactions is suggested. Results in this paper can be used for the theoretical guidance of how to make the soliton transmission more efficient and more fidelity, and are of great significance for optical fiber communications.

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 1, 2018

References

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