Optical solitons for the concatenation model with multiplicative white noise

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

“…Step-3: Insert (8) into (4) along with (9). Through this substitution, a polynomial in terms of θ(ξ) is derived.…”

“…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.…”

Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

“…This makes the newly structured concatenation model true to its name [1][2][3][4][5]. This dispersive concatenation model has been extensively studied with various characteristic features, namely, the retrieval of optical soliton solutions with the usage of the method of undetermined coefficients as well as additional integration tools and also addressing the model in the absence of selfphase modulation (SPM) [31][32][33][34][35][36][37]. Later, the model was also studied with nonlinear form of chromatic dispersion (CD) and quiescent optical solitons were recovered in this context [6][7][8].…”