Controlled giant rogue waves in nonlinear fiber optics

Kumar, C. N.; Gupta, Rama; Goyal, Amit; Loomba, Shally; Raju, Thokala Soloman; Panigrahi, Prasanta K.

doi:10.1103/physreva.86.025802

Cited by 78 publications

(30 citation statements)

References 32 publications

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“…Unlike the constant coefficient NLS equation the studies on vcNLS equation reveal that one can control/amplify the localized structures through their inhomogeneity parameters. Subsequently, identifying and the possibility of controlling RWs in the one-dimensional vc-NLS equations have been investigated by several authors [14,15,16,17,18]. Even though the one-dimensional equations have given a good understanding on the dynamics, a detailed investigation on the higher-dimensional version (two or three dimensions) of the system will provide a clear visualization about the localized structures.…”

Section: Introductionmentioning

confidence: 99%

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

2016

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Abstract. We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrödinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.

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Section: Introductionmentioning

confidence: 99%

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

2016

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“…The parameters a 0 , b 0 , c 0 and d 0 facilitate control over nonlinearity. Introducing a self-similar transformation, the solution assumes the form [23][24][25][26][27][28] …”

Section: Theoretical Model and Rogue Wave Solutionmentioning

confidence: 99%

Airy–Bessel modulated self-similar rogue waves in a nonlinear Schrödinger equation model

Kaur

Goyal³

et al. 2014

Journal of Modern Optics

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We construct explicit rogue wave solutions of the generalized nonlinear Schrödinger equation under Airy and Besselmodulated nonlinearity and an external potential, by employing a multivariate self-similarity transformation. A set of conditions in the form of analytical relations among dispersion, external potential and nonlinearity have been found for rogue wave generation. Different dimensions of controllability of the rogue waves are also being explored by varying parameters associated with the nonlinearity coefficients by judiciously choosing the form of the parametric functions.

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“…The first-order rational solution of the self-focussing nonlinear Schrödinger equation (NLS) was first introduced by Peregrine [3] to describe the rogue wave phenomenon. Recently, by using the Darboux dressing technique or Hirotas bilinear method, rogue wave solutions were reported in some complex systems [13][14][15][16][17]. In the present work, we use a homoclinic (heteroclinic) breather wave limit method for getting rogue wave solution to the coupled long-wave-short-wave system.…”

Section: Introductionmentioning

confidence: 97%

“…A wave can be called a rogue wave when its height and steepness is much greater than the average crest, and appears from nowhere and disappears without a trace [6]. Rogue waves are the subject of intense research in fields of oceanography [7,8], optical fibres [9,10], superfluids [11], BoseEinstein condensates and related fields [12,13]. The first-order rational solution of the self-focussing nonlinear Schrödinger equation (NLS) was first introduced by Peregrine [3] to describe the rogue wave phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Rational homoclinic solution and rogue wave solution for the coupled long-wave–short-wave system

Chen

Dai

2015

Pramana - J Phys

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Controlled giant rogue waves in nonlinear fiber optics

Cited by 78 publications

References 32 publications

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

Airy–Bessel modulated self-similar rogue waves in a nonlinear Schrödinger equation model

Rational homoclinic solution and rogue wave solution for the coupled long-wave–short-wave system

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