Rogue waves of the nonlinear Schrödinger equation with even symmetric perturbations

Adrian Ankiewicz; Amdad Chowdhury; Natasha Devine; Nail Akhmediev

doi:10.1088/2040-8978/15/6/064007

Rogue waves of the nonlinear Schrödinger equation with even symmetric perturbations

Adrian Ankiewicz, Amdad Chowdhury, Natasha Devine, Nail Akhmediev

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We show that a rogue wave solution of the nonlinear Schrödinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν| < 0.05.

Original language	English
Article number	064007
Journal	Journal of Optics (United Kingdom)
Volume	15
Issue number	6
DOIs	https://doi.org/10.1088/2040-8978/15/6/064007
Publication status	Published - Jun 2013

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title = "Rogue waves of the nonlinear Schr{\"o}dinger equation with even symmetric perturbations",

abstract = "We show that a rogue wave solution of the nonlinear Schr{\"o}dinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν| < 0.05.",

keywords = "higher-order dispersion, nonlinear Sch{\"r}odinger equation, perturbations, quintic, rogue waves",

author = "Adrian Ankiewicz and Amdad Chowdhury and Natasha Devine and Nail Akhmediev",

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AU - Ankiewicz, Adrian

AU - Chowdhury, Amdad

AU - Devine, Natasha

AU - Akhmediev, Nail

PY - 2013/6

Y1 - 2013/6

N2 - We show that a rogue wave solution of the nonlinear Schrödinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν| < 0.05.

AB - We show that a rogue wave solution of the nonlinear Schrödinger equation (NLSE) can survive even-parity perturbations of the equation, such as the addition of a quintic term and fourth-order dispersion. We present a solution which is accurate to the first order for such a perturbation. Our numerical simulations confirm the rogue wave existence when the parameter of perturbation |ν| < 0.05.

KW - higher-order dispersion

KW - nonlinear Schr̈odinger equation

KW - perturbations

KW - quintic

KW - rogue waves

UR - https://www.scopus.com/pages/publications/84878888486

U2 - 10.1088/2040-8978/15/6/064007

DO - 10.1088/2040-8978/15/6/064007

M3 - Article

SN - 2040-8978

VL - 15

JO - Journal of Optics (United Kingdom)

JF - Journal of Optics (United Kingdom)

IS - 6

M1 - 064007

ER -

Rogue waves of the nonlinear Schrödinger equation with even symmetric perturbations

Abstract

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