Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise
Elsayed M.E. Zayed, Mohamed E.M. Alngar, Reham M.A. Shohib
Abstract
The current article studies optical solitons solutions for the dimensionless form of the stochastic resonant nonlinear Schrödinger equation (NLSE) with both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD) having multiplicative noise in the itô 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.
Topics & Concepts
Multiplicative functionDimensionless quantityPhysicsMultiplicative noiseSolitonDispersion (optics)LawPower lawQuadratic equationWhite noiseMathematical analysisNonlinear systemMathematicsQuantum mechanicsTelecommunicationsTransmission (telecommunications)Computer scienceGeometrySignal transfer functionStatisticsAnalog signalPolitical scienceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies