Transforming higher order bright and dark solitons to the first order solitons in Kerr medium: A review

Hesami, Majid; Avazpour, Mahrokh; Otero, M. M. Méndez

doi:10.1016/j.ijleo.2019.163695

Cited by 4 publications

(1 citation statement)

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“…More recently, some works have been done to build soliton in a nonlinear coupler in a presence of a raman effect and solitary waves in asymmetric tin-core fibers [6,7]. Today, analytical investigation of solitary waves become a big challenge, that is while some relevant methods have been used to construct exact solutions for partial differential equations (PDEs), such as unified method [8,9], initial condition field distributions [10], the simplest equation approach [11], the split-Step method [12], the first integral method [13], new extended direct algebraic scheme [14,15] and the generalized tanh method [16], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Solitary wave solutions in two-Core optical fibers with coupling-coefficient dispersion and Kerr nonlinearity

et al. 2021

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In this paper, we studies chirped solitary waves in two-Core optical fibers with coupling-coefficient dispersion and intermodal dispersion. To construct chirp soliton, the couple of nonlinear Schrödinger equation which describing the pulses propagation along the two-core fiber have been reduced to one equivalent equation. By adopting the traveling-waves hypothesis, the exact analytical solutions of the GNSE were obtained by using three relevant mathematical methods namely the auxiliary equation method, the modified auxiliary equation method and the Sine-Gordon expansion approach. Lastly, the behavior of the chirped like-soliton solutions were discussed and some contours of the plot evolution of the bright and dark solitons are obtained.

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