Cubic–quartic optical soliton perturbation Biswas–Milovic equation with Kudryashov’s law of refractive index using two integration methods

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

“…The governing model in FBGs is formulated in this the paper for the …rst time. Optical solitons of the model equation are revealed by the modi…ed Kudryashov's approach [17][18][19] and the addendum to Kudryashov's methodology [13,[17][18][19]. These solitons are reported in this paper for the …rst time.…”

“…provided L 2 > 0 and L 1 < 0: Substituting (63) along with the well-known solutions of Eq. ( 62) obtained in [17][18][19] into (61), we have the solutions:…”

“…Fiber Bragg gratings (FBGs) are of tremendous interests to physicists and engineers during the past couple of decades or more because of its applications. FBGs are applied in all optical communication systems and thus have been widely studied with several methods [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Optical nonlinearities, such as Kerr law, quadratic-cubic law, log-law, cubic-quintic-septic law, triple-power law, power-law, parabolic-law, anti-cubic law, dual-power law and parabolic-nonlocal law have been investigated by FBGs using integration technologies.…”

Cubic-Quartic Optical Solitons in Bragg Gratings Fibers for Perturbed NLSE Having Parabolic-Nonlocal Law of Refractive Index Using Two Integration Schemes

“…provided L 4 + 2L 2 ln 2 K > 0: Substituting (57) along with the well-known solution of Eq. (56) obtained in [2,[19][20][21] in (55), we have the solutions: Case-2. Choose p = 2; then M = 2: Now, we have the formal solution…”

Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index

“…Recently, Zayed et al in [34] studied this model with unified auxiliary equation method. Zayed et al in [35] applied the modified Kudryashov's approach and the addendum to Kudryashov's approach to obtained optical soliton solutions to the cubic-quartic perturbation with Biswas-Milovic equation including Kudryashov's https://www.journals.vu.lt/nonlinear-analysis law of refractive index. This present study further complements and presents new solutions to this nonlinear problem, some of which do not exist in [34,35] before.…”