Chirped solitons in derivative nonlinear Schrödinger equation

Justin, Mibaile; Hubert, Malwe Boudoue; Betchewe, Gambo; Doka, Serge Y.; Crépin, Kofané Timoléon

doi:10.1016/j.chaos.2017.12.010

Cited by 25 publications

(8 citation statements)

References 8 publications

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“…where c 4 > 0, c 6 < 0 and 0 < m < 1 is the modulus of the Jacobi elliptic functions. As m → 1, solution (18) reduces to the following chirped kink and anti-kink soliton solutions:…”

Section: Chirped Soliton Solutionsmentioning

confidence: 99%

Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

Al-Ghafri¹,

Krishnan

Biswas

2020

Adv Differ Equ

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The present paper focuses on the chirped soliton solutions of the Fokas-Lenells equation in the presence of perturbation terms. A complex envelope traveling-wave solution is used to reduce the governing equation to an ordinary differential equation (ODE). An auxiliary equation in the form of a first-order nonlinear ODE with six-degree terms is implemented as a solution method. Various types of chirped soliton solutions including bright, dark, kink and singular solitons are extracted. The associated chirp is also determined for each of these optical pulses. Restrictions for the validity of chirped soliton solutions are presented.

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“…where c 4 > 0, c 6 < 0 and 0 < m < 1 is the modulus of the Jacobi elliptic functions. As m → 1, solution (18) reduces to the following chirped kink and anti-kink soliton solutions:…”

Section: Chirped Soliton Solutionsmentioning

confidence: 99%

Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

Al-Ghafri¹,

Krishnan

Biswas

2020

Adv Differ Equ

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“…Eq. (5) is an elliptic equation well known to solve partial differential equations [18,19]. As in [18,19],we gain the following soliton solutions 1.i:a 0 = 0, a 3 > 0, a 2 < 0 and a 2 2 − 4a 3 a 1 > 0,…”

Section: Chirped Soliton-like Solutionsmentioning

confidence: 99%

Soliton Solutions, Kink and Antikink of the Gerdjikov-Ivanov Equation

Houwe¹,

Justin²,

Jérôme³

et al. 2018

Preprint

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“…Rich results have been obtained for MDNLSE, such as the homoclinic orbit, etc. [14][15][16][17]. However, as far as we know, the rogue wave solution of Eq.…”

Section: Introductionmentioning

confidence: 98%

Exact Solutions and Rogue Waves for the Derivative Nonlinear SchrÖdinger Equation

Liu

Zhou

2019

JAMCS

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Exact solutions which contain periodic solutions, soliton solutions and rogue wave solutions for two the modied derivative nonlinear Schrodinger equations, are obtained by means of solutions of a known derivative nonlinear SchrÖdinger equation. Two solutions' images are displayed, which can help one understand their dynamical behavior better. These results enrich the solutions' structural diversity for the modied derivative nonlinear schrÖdinger equations.

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Chirped solitons in derivative nonlinear Schrödinger equation

Cited by 25 publications

References 8 publications

Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

Chirped optical soliton perturbation of Fokas–Lenells equation with full nonlinearity

Soliton Solutions, Kink and Antikink of the Gerdjikov-Ivanov Equation

Exact Solutions and Rogue Waves for the Derivative Nonlinear SchrÖdinger Equation

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