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

Abstract

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.

A novel analytical approach to the Benjamin–Ono equation

“…Recent advancements have yielded numerous approaches to exploring exact solutions for nonlinear evolution equations. These methods include the quantum inverse scattering method [1], inverse scattering transform method [2,3], multiple exp-function method [4,5], Hirota's direct method [6,7], modified extended tanh-function method [8,9], binary Darboux transformation [10], and others [11][12][13][14][15][16][17].…”

Impressive and accurate solutions to the generalized Fokas-Lenells model

“…Specially, this model represents the propagation of short light pulses in the mono-mode optical fibers. Various authors have studied the FLM via different methods [19][20][21][22][23][24][25][26][27][28][29][30]. On the other hand, the GFLM will be discussed for the first time in the frame work of two distinct techniques namely the MSEM and the RPSODM.…”