Defocusing complex short-pulse equation and its multi-dark-soliton solution

Bao-Feng Feng, Liming Ling, and Zuonong Zhu
Phys. Rev. E 93, 052227 – Published 26 May 2016

Abstract

In this paper, we propose a complex short-pulse equation of both focusing and defocusing types, which governs the propagation of ultrashort pulses in nonlinear optical fibers. It can be viewed as an analog of the nonlinear Schrödinger (NLS) equation in the ultrashort-pulse regime. Furthermore, we construct the multi-dark-soliton solution for the defocusing complex short-pulse equation through the Darboux transformation and reciprocal (hodograph) transformation. One- and two-dark-soliton solutions are given explicitly, whose properties and dynamics are analyzed and illustrated.

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  • Received 4 November 2015
  • Revised 19 April 2016

DOI:https://doi.org/10.1103/PhysRevE.93.052227

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Nonlinear Dynamics

Authors & Affiliations

Bao-Feng Feng1,*, Liming Ling2,†, and Zuonong Zhu3,‡

  • 1School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA
  • 2School of Mathematics, South China University of Technology, Guangzhou 510640, China
  • 3Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

  • *baofeng.feng@utrgv.edu
  • Corresponding author: linglm@scut.edu.cn
  • znzhu@sjtu.edu.cn

Comments & Replies

Reply to “Comment on ‘Defocusing complex short-pulse equation and its multi-dark-soliton solution’ ”

Bao-Feng Feng, Liming Ling, and Zuonong Zhu
Phys. Rev. E 96, 026202 (2017)

Comment on “Defocusing complex short-pulse equation and its multi-dark-soliton solution”

Saliou Youssoufa, Victor K. Kuetche, and Timoleon C. Kofane
Phys. Rev. E 96, 026201 (2017)

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Vol. 93, Iss. 5 — May 2016

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