Breather management in the derivative nonlinear Schrödinger equation with variable coefficients

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

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

Funding

FundersFunder number
NPRP6-021-1-005
Qatar Foundation
Texas A and M University
Qatar National Research FundNPRP 6 - 021 - 1 - 005
National Natural Science Foundation of China61275001
Natural Science Foundation of Guangdong Province1414050004503

    Keywords

    • Derivative nonlinear Schrödinger equation
    • Numerical simulation
    • Similarity transformation

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