Optical Solitons for a Concatenation Model by Trial Equation Approach

Abstract

This paper addresses the newly proposed concatenation model by the usage of trial equation approach. The concatenation is a chain model that is a combination of the nonlinear Schrodinger’s equation, Lakshmanan–Porsezian–Daniel model as well as the Sasa–Satsuma equation. The recovered solutions are displayed in terms of dark solitons, singular solitons, cnoidal waves and singular periodic waves. The trial equation approach enables to recover a wide spectrum of solutions to the governing model. The numerical schemes give a visual perspective to the solutions derived analytically.

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

“…In its dimensionless representation, the perturbed edition of the concatenation model includes both STD and the white noise effect, as detailed in references [3][4][5][6][7][8][9]: iq aq bq c q q c q q q q q q q q q q q δ δ δ δ δ δ…”

“…In 2012, Ankiewicz et al introduced a new governing model that combines the nonlinear Schrödinger's equation (NLSE), Lakshmanan-Porsezian-Daniel (LPD) model, and the Sasa-Satsuma equation (SSE) [1][2]. Known as the concatenation model, it has yielded significant results in recent years, recovering and reporting optical solitons under Kerr law of self-phase modulation (SPM) and power-law of SPM [3][4][5][6][7][8][9]. These results include the retrieval of optical solitons using the method of undetermined coefficients, identification of conservation laws through the multiplier approach, discovery of quiescent solitons with nonlinear chromatic dispersion (CD), numerical analysis through Laplace-Adomian decomposition, and more.…”

A Fresh Perspective on the Concatenation Model in Optical Fibers with Kerr Law of Self-Phase Modulation

“…These include the Painleve analysis, retrieval of solitons, and conservation laws with the usage of the undetermined coefficients and the multiplier approach respectively. Later, the trial equation approach was also implemented to recover the soliton solutions to the model [3][4][5][6][7]. Further down the road, several more studies were conducted.…”

Internet traffic prediction analog to solitons propagation in optical fibers via the concatenation model and stability analysis

“…A variety of techniques were used to derive solutions of the CM. Among them, the trial approach, the solutions of the CM were recovered in Wang et al (2023). In , the method of undetermined coefficients was used to obtain a full spectrum of 1-soliton solutions of the CM.…”