Optical solitons in Bragg gratings fibers for the nonlinear (2+1)-dimensional Kundu–Mukherjee–Naskar equation using two integration schemes

Abstract

The current work handles for the …rst time, dispersive optical solitons in …ber Bragg gratings for the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation. Two integration schemes, namely, the modi…ed Kudryashov's approach and the addendum to Kudryashov's methodology are applied. Dark, bright and singular soliton solutions are obtained. Also, combo bright-singular soliton solutions are introduced.

Bending of optical solitonic beams modeled by coupled KMN equation

“…The coupled Kundu-Mukherjee-Naskar (KMN) model for the bimodal Bragg grating ber system has been discussed in [52,53]. Another bimodal coupled system for the KMN equation has been discussed in [42,43] for modeling optical solitonic beams in birefringent fibers without four-wave mixing terms But the model has not been clearly described mentioning its different terms and specialties compared to other systems with Kerr like nonlinearities.…”

Optical dromions with polarization–mode dispersion having parabolic law of self–phase modulation with multiplicative white noise

“…To top it off, the model will include spatio-temporal dispersions (STD), along the orthogonal directions, in addition to the usual chromatic dispersion (CD) [30][31][32][33][34][35][36][37][38][39]. The refractive index change is taken in the form of parabolic law of nonlinearity [40][41][42][43][44][45][46][47][48][49]. Additionally, in order to give a flavorful taste from a practical standpoint, the effect of stochasticity, in the form of white noise, is also included along both components of the model with PMD [50][51][52][53][54][55][56][57][58][59].…”