Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise

The current article studies optical solitons solutions for the dimensionless form of the stochastic resonant nonlinear Schrodinger equation (NLSE) with both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD) having multiplicative noise in the ito sense. We will discuss seven laws of nonlinearities, namely, the Kerr law, power law, parabolic law, dual-power law, quadratic-cubic law, polynomial law, and triple-power law. The new auxiliary equation method is investigated. We secure the bright, dark, and singular soliton solutions for the model.

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The current article investigates optical soliton solutions for the dimensionless form of the stochastic resonant nonlinear Schrodinger equation with both spatio-temporal dispersion and inter-modal dispersion, along with multiplicative noise in the ito sense. Seven laws of nonlinearities, including the Kerr law, power law, parabolic law, dual-power law, quadratic-cubic law, polynomial law, and triple-power law, are discussed. The new auxiliary equation method is applied to secure bright, dark, and singular soliton solutions for the model.