Optical solitons in the Sasa�Satsuma model with multiplicative noise via Ito calculus

Optical Solitons with Dispersive Concatenation Model Having Multiplicative White Noise by the Enhanced Direct Algebraic Method

“…This section is a quick overview of the basic procedures with the enhanced direct algebraic technique [6][7][8][9][10]. We could include a governing model that represents a nonlinear evolution equation which has the structure:…”

“…A considerable amount of results has been subsequently reported for this model during the past couple of years [6][7][8][9][10]. These include the retrieval of optical soliton solutions and the conservation laws that were recovered by means of multipliers approach.…”

The $$\Phi ^{6}$$-model expansion approach for solving the (2+1)-dimensional NLSE with Kerr law nonlinearity and STD with multiplicative white noise in birefringent fibers

“…They o¤er a more accurate portrayal of events that occur in the actual world, where uncertainty and random ‡uctuations are important factors. One feature of the section on stochasticity is the number of articles [1][2][3][4][5][6][7][8][9][10][11] that have been produced to address this concept. An equation that describes how light travels through birefringent …bres is known as the (2+1)-dimensional Nonlinear Schrödinger Equation (NLSE) with Kerr law nonlinearity and spatio-timporal dispersion (STD).…”

Propagation of chirped solitons on a cw background in a non-Kerr quintic medium with self-steepening effect

“…In such a situation, the pulse dynamics can be described by more generalized NLS equations containing various contributions of higher-order dispersive and nonlinear terms. Such equations were found to have a rich variety of soliton solutions [11][12][13], which may be useful in understanding different physical phenomena and dynamical processes arising in optical systems. We note here that important results have been found with recent works demonstrating soliton dynamics supported by complex parity-time symmetric potentials [14] as well as breathers and rogue waves in spinor Bose-Einstein condensates with space-time modulated potentials [15].…”