Breather management in the derivative nonlinear Schrödinger equation with variable coefficients

Wei Ping Zhong, Milivoj Belić, Boris A. Malomed, Tingwen Huang

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate breather solutions of the generalized derivative nonlinear Schrödinger (DNLS) equation with variable coefficients, which is used in the description of femtosecond optical pulses in inhomogeneous media. The solutions are constructed by means of the similarity transformation, which reduces a particular form of the generalized DNLS equation into the standard one, with constant coefficients. Examples of bright and dark breathers of different orders, that ride on finite backgrounds and may be related to rogue waves, are presented.

Original languageEnglish
Pages (from-to)313-321
Number of pages9
JournalAnnals of Physics
Volume355
DOIs
StatePublished - 1 Apr 2015

Keywords

  • Derivative nonlinear Schrödinger equation
  • Numerical simulation
  • Similarity transformation

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