Highly dispersive optical solitons of perturbed nonlinear Schrödinger equation with Kudryashov’s sextic-power law nonlinear

Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation)

“…Additional effects such as stochasticity, time-dependent coefficients to the model are yet to be explored. These would lead to several novelties that would be sequentially disseminated all across the board after aligning the results with pre-existing reports [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity

“…( 1) can be found using the traveling wave solutions. These solutions can be found using special methods (see, for example, Alotaibi 2021, Biswas et al 2021c, Ege 2022, Ekici 2022, Eldidamony et al 2022a,b, González-Gaxiola 2022, Kudryashov 1991, 1990, 2005, 2009, 2012, 2020a,c,e, 2021a,b,c, 2022a,b,c, Ozisik et al 2022, Raheel et al 2022b, Vitanov 2010, 2011a,b, Vitanov and Dimitrova 2010, Wang 2022a,b, Zayed et al 2022.…”

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

“…Very recently, CGLE has gained popularity with the emerging concept of highly dispersive (HD) optical solitons [10][11][12][13][14][15], where high-order nonlinear differential equations describing the propagation of pulses in an optical fiber are studied by using a method for finding HD solitary wave solutions [10]. HD optical solitons with a nonlinear sixth-order differential equation, having various polynomial nonlinearities, are handled in [11].…”

“…HD optical solitons for the generalized nonlinear eighth-order Schrödinger equation with the third, fifth, seventh and ninth power of nonlinearity are studied in [12]. HD optical solitons with the perturbed nonlinear Schrödinger equation, having dispersion terms of all orders and containing Kudryashov's sextic power-law of self-phase modulation, are secured using the trial equation method [13]. Ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting HD effects is addressed in [14].…”