Breather management in the derivative nonlinear Schrödinger equation with variable coefficients

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

doi:10.1016/j.aop.2014.12.015

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 journal › Article › peer-review

23 Citations (Scopus)

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 language	English
Pages (from-to)	313-321
Number of pages	9
Journal	Annals of Physics
Volume	355
DOIs	https://doi.org/10.1016/j.aop.2014.12.015
Publication status	Published - 1 Apr 2015
Externally published	Yes

Keywords

Derivative nonlinear Schrödinger equation
Numerical simulation
Similarity transformation

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10.1016/j.aop.2014.12.015

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title = "Breather management in the derivative nonlinear Schr{\"o}dinger equation with variable coefficients",

abstract = "We investigate breather solutions of the generalized derivative nonlinear Schr{\"o}dinger (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.",

keywords = "Derivative nonlinear Schr{\"o}dinger equation, Numerical simulation, Similarity transformation",

author = "Zhong, {Wei Ping} and Milivoj Beli{\'c} and Malomed, {Boris A.} and Tingwen Huang",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

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doi = "10.1016/j.aop.2014.12.015",

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AU - Zhong, Wei Ping

AU - Belić, Milivoj

AU - Malomed, Boris A.

AU - Huang, Tingwen

PY - 2015/4/1

Y1 - 2015/4/1

N2 - 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.

AB - 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.

KW - Derivative nonlinear Schrödinger equation

KW - Numerical simulation

KW - Similarity transformation

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U2 - 10.1016/j.aop.2014.12.015

DO - 10.1016/j.aop.2014.12.015

M3 - Article

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VL - 355

SP - 313

EP - 321

JO - Annals of Physics

JF - Annals of Physics

ER -

Breather management in the derivative nonlinear Schrödinger equation with variable coefficients

Abstract

Keywords

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