Controllable parabolic-cylinder optical rogue wave

Wei Ping Zhong; Lang Chen; Milivoj Belić; Nikola Petrović

doi:10.1103/PhysRevE.90.043201

Controllable parabolic-cylinder optical rogue wave

Wei Ping Zhong^*, Lang Chen, Milivoj Belić, Nikola Petrović

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

We demonstrate controllable parabolic-cylinder optical rogue waves in certain inhomogeneous media. An analytical rogue wave solution of the generalized nonlinear Schrödinger equation with spatially modulated coefficients and an external potential in the form of modulated quadratic potential is obtained by the similarity transformation. Numerical simulations are performed for comparison with the analytical solutions and to confirm the stability of the rogue wave solution obtained. These optical rogue waves are built by the products of parabolic-cylinder functions and the basic rogue wave solution of the standard nonlinear Schrödinger equation. Such rogue waves may appear in different forms, as the hump and paw profiles.

Original language	English
Article number	043201
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	90
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.90.043201
Publication status	Published - 6 Oct 2014
Externally published	Yes

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10.1103/PhysRevE.90.043201

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title = "Controllable parabolic-cylinder optical rogue wave",

abstract = "We demonstrate controllable parabolic-cylinder optical rogue waves in certain inhomogeneous media. An analytical rogue wave solution of the generalized nonlinear Schr{\"o}dinger equation with spatially modulated coefficients and an external potential in the form of modulated quadratic potential is obtained by the similarity transformation. Numerical simulations are performed for comparison with the analytical solutions and to confirm the stability of the rogue wave solution obtained. These optical rogue waves are built by the products of parabolic-cylinder functions and the basic rogue wave solution of the standard nonlinear Schr{\"o}dinger equation. Such rogue waves may appear in different forms, as the hump and paw profiles.",

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AU - Belić, Milivoj

AU - Petrović, Nikola

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AB - We demonstrate controllable parabolic-cylinder optical rogue waves in certain inhomogeneous media. An analytical rogue wave solution of the generalized nonlinear Schrödinger equation with spatially modulated coefficients and an external potential in the form of modulated quadratic potential is obtained by the similarity transformation. Numerical simulations are performed for comparison with the analytical solutions and to confirm the stability of the rogue wave solution obtained. These optical rogue waves are built by the products of parabolic-cylinder functions and the basic rogue wave solution of the standard nonlinear Schrödinger equation. Such rogue waves may appear in different forms, as the hump and paw profiles.

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Controllable parabolic-cylinder optical rogue wave

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