Nonlinear Dyn (2018) 94:703–709 https://doi.org/10.1007/s11071-018-4387-7 ORIGINAL PAPER Analytic study on interactions between periodic solitons with controllable parameters Xiaoyan Liu · Houria Triki · Qin Zhou · Wenjun Liu · Anjan Biswas Received: 7 March 2018 / Accepted: 17 May 2018 / Published online: 1 June 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract Soliton interactions occur when two soli- with controllable parameters are investigated analyt- tons are close enough. In general, periodic oscilla- ically. One- and two-soliton solutions for the nonlinear tions can be presented during soliton interactions. The Schrödinger equation are derived by using the Hirota’s periodic oscillations will lead to the soliton distortion, bilinear method. According to analytic solutions, the which is necessary to carry out the effective control. inﬂuences of each parameter on period interactions In this paper, interactions between periodic solitons 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 X. Liu · W. Liu (B) how to make the soliton transmission more efﬁcient and State Key Laboratory of Information Photonics and Optical more ﬁdelity, and are of great signiﬁcance for
Nonlinear Dynamics – Springer Journals
Published: Jun 1, 2018
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