Raman solitons in nanoscale optical waveguides, with metamaterials, having polynomial law non-linearity

Xu, Yingyue; Suarez, Pablo; Milović, Daniela; Khan, Kaisar R.; Mahmood, Mohammad F.; Biswas, Anjan; Belić, Milivoj R.

doi:10.1080/09500340.2016.1193240

Cited by 17 publications

(2 citation statements)

References 32 publications

(22 reference statements)

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“…Over the last five years, a handful of categories of solitons like traveling-wave solutions and array breathers have been reported in the literature, such as variable sinh-Gaussian solitons, dark-combo solitons, soliton pairs, bright solitons, complexiton solitons, Gaussian-shaped solitons and singular solitons [1][2][3][4][5][6][7][8][9][10][11][12]. In addition, one of the environments that have shown themselves favorable to the propagation of these optical solitons is metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

Nestor

Abbagari

Houwe

et al. 2020

Commun. Theor. Phys.

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This paper studies chirped optical solitons in nonlinear optical fibers. However, we obtain diverse soliton solutions and new chirped bright and dark solitons, trigonometric function solutions and rational solutions by adopting two formal integration methods. The obtained results take into account the different conditions set on the parameters of the nonlinear ordinary differential equation of the new extended direct algebraic equation method. These results are more general compared to Hadi et al (2018 Optik 172 545–53) and Yakada et al (2019 Optik 197 163108).

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Section: Introductionmentioning

confidence: 99%

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

Nestor

Abbagari

Houwe

et al. 2020

Commun. Theor. Phys.

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“…, (1.4) with α a parameter, is obtained for a wide class of NLS equations which incorporates a triad of power law terms together with a de Broglie-Bohm potential term. It is remarked that NLS equations involving such triple power law nonlinearities arise in nonlinear optics (see [31,91] and literature cited therein). Moreover, NLS equations containing a de Broglie-Bohm term also arise in the analysis of the propagation of optical beams [75,90] as well as in cold plasma physics [56].…”

Section: Introductionmentioning

confidence: 99%

Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System

Rogers¹,

Clarkson²

2017

SIGMA

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Abstract. A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-Painlevé II equation which is linked, in turn, to the integrable Painlevé XXXIV equation. A nonlinear Schrödinger encapsulation of a Korteweg-type capillary system is thereby used in the isolation of such a Ermakov-Painlevé II reduction valid for a multiparameter class of free energy functions. Iterated application of a Bäcklund transformation then allows the construction of novel classes of exact solutions of the nonlinear capillarity system in terms of Yablonskii-Vorob'ev polynomials or classical Airy functions. A Painlevé XXXIV equation is derived for the density in the capillarity system and seen to correspond to the symmetry reduction of its Bernoulli integral of motion.

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Exact Solutions and Dynamical Behaviors of the Raman Soliton Model with Anti-Cubic Nonlinearity

Zhang

2022

Qual. Theory Dyn. Syst.

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Raman solitons in nanoscale optical waveguides, with metamaterials, having polynomial law non-linearity

Cited by 17 publications

References 32 publications

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

Diverse chirped optical solitons and new complex traveling waves in nonlinear optical fibers

Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System

Exact Solutions and Dynamical Behaviors of the Raman Soliton Model with Anti-Cubic Nonlinearity

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