Optical Solitons in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi></mml:math>-Coupled Higher Order Nonlinear Schrödinger Equations

Nakkeeran, K.; Porsezian, K.; Sundaram, P. V.; Mahalingam, A.

doi:10.1103/physrevlett.80.1425

Cited by 111 publications

(77 citation statements)

References 18 publications

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“…w is the frequency of the optical background field. Performing the Darboux transformation [21] from the above seed solution, one can derive kinds of localized waves solution. Notably, we find a new type rational solution on continuous background with some certain conditions on the background's amplitude and frequency c ≥ 2w.…”

Section: The S-s Model and Continuous Wave Backgroundmentioning

confidence: 99%

Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation

Zhao

Ling

2014

Phys. Rev. E

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We study localized wave on continuous wave background analytically in a nonlinear fiber with higher order effects such as higher order dispersion, Kerr dispersion, and stimulated inelastic scattering. We present an exact rational W-shaped soliton solutions, whose structural properties depend on the frequency of the background field. The hump value increase with the decrease of the background frequency in the certain regime. The highest value of the W-shaped soliton can be nine times the background's, and the distribution shape is identical with the one of well-known eyes-shaped rogue wave with its maximum peak. The numerical stimulations indicate that the W-shaped soliton is stable with small perturbations.

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Section: The S-s Model and Continuous Wave Backgroundmentioning

confidence: 99%

Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation

Zhao

Ling

2014

Phys. Rev. E

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“…In view of the connection between the Sasa-Satsuma equation and its multi-field generalizations it is expected that the latter equation should also admit different types of soliton solutions. It should be mentioned that the single peak solutions has been obtained in [30,31,37]. However, it remained to show that (1) admits a more general class of solutions.…”

Section: Introductionmentioning

confidence: 96%

Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation

Nandy

Sarma

Barthakur

et al. 2010

Communications in Nonlinear Science and Numerical Simulation

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“…(14) corresponds to N = 2 in the general N-soliton solution (52) with (53). This solution can also be written out explicitly, however, we prefer to showing Fig.…”

Section: Examples Of Single and Two Bright Solitons In Eq (14)mentioning

confidence: 99%

Optical Solitons in a Nonlinear Fiber Medium with Higher-Order Effects

Wang¹

2012

Recent Progress in Optical Fiber Research

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Optical Solitons inN-Coupled Higher Order Nonlinear Schrödinger Equations

Cited by 111 publications

References 18 publications

Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation

Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation

Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation

Optical Solitons in a Nonlinear Fiber Medium with Higher-Order Effects

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