Results 31 to 40 of about 5,836,248 (102)

Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities

Results in Physics, 2020
In this paper, the Kudryashov’s method and generalized tanh method (GTM) are employed to retrieve the new distinct optical solitons for highly dispersive NLSE.
Naeem Ullah, Hamood Ur Rehman, M.A. Imran, T. Abdeljawad   +3 more
doaj   +1 more source

Conserved vectors and solutions of the two-dimensional potential KP equation

Open Physics, 2023
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood, Lephoko Mduduzi Yolane Thabo   +1 more
doaj   +1 more source

Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

Franklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach. [PDF]

We derive stationary optical solitons for the case when the nonlinear refractive index of Kudryashov’s quintuple form is coupled with a nonlocal type of self-phase modulation in the presence of nonlinear chromatic dispersion.
Arnous, Ahmed H., Veni, S. Saravana, Zayed, Elsayed M. E., Hussein, Layth, Biswas, Anjan, El-Shater, Mona, Yıldırım, Yakup, Jawad, Anwar Ja’afar Mohamad   +7 more
core   +2 more sources

The Bifurcation and Exact Solution of the Nonlinear Schrödinger Equation with Kudryashov’s Quintic Power Law of the Refractive Index Together with the Dual Form of Nonlocal Nonlinearity

Mathematics
This study investigates a nonlinear Schrödinger equation that includes Kudryashov’s quintic power-law refractive index along with dual-form nonlocal nonlinearity.
Cailiang Chen, Mengke Yu, Qiuyan Zhang
doaj   +1 more source

ON THE TRAVELING WAVE SOLUTIONS OF PULSE PROPAGATION IN MONOMODE FIBER VIA THE EXTENDED KUDRYASHOV’S APPROACH

, 2022
© 2022 Society of Thermal Engineers of Serbia Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditionsIn this research paper, we tackle with the ...
Tekercioğlu, Ramazan
core   +1 more source

Extraction of solitons in magneto–optic waveguides for coupled NLSEs with Kudryashov's law of nonlinearity via modified extended direct algebraic method

Ain Shams Engineering Journal
In this paper, the modified extended direct algebraic technique is used for determining new and various traveling wave solutions to the coupled nonlinear Schrödinger equation (NLSE) with Kudryashov's law of nonlinearity.
Ola El-Shamy, Reda El-Barkouky, Hamdy M. Ahmed, W. Abbas, Islam Samir   +4 more
doaj   +1 more source

Novel optical structures for the cubic-quartic nonlinear Schrödinger equation: Analytical and numerical perspectives

Ain Shams Engineering Journal
The current paper uses both analytical and numerical approaches to explore the cubic-quartic nonlinear Schrödinger model governed by the Kerr law. For the analytical analysis, we employ the addendum to Kudryashov's method that yields several intriguing ...
Afrah M. Almalki, A.A. Alshaery, H.O. Bakodah   +2 more
doaj   +1 more source

On obtaining optical solitons of the perturbed cubic-quartic model having the Kudryashov’s law of refractive index

This article delves into the study of the perturbed cubic-quartic Kudryashov’s equation having the Kudryashov’s law of refractive index which is recently introduced to the literature.
BAYRAM, Mustafa, ÖZIŞIK, Müslüm, ÇINAR, Melih, SEÇER, Aydın, Cakicioglu, Hasan   +4 more
core   +1 more source

Investigating the potential of optical metamaterials with highly dispersive solitons in twin couplers with stochastic perturbations and white noise effects

Ain Shams Engineering Journal
This study emphasizes a unique contribution as we investigate the dimensionless version of the perturbed stochastic NLSE within an optical metamaterial-designed coupler.
Elsayed M.E. Zayed, Mahmoud M. El-Horbaty, Mona El-Shater, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Ahmed M. Elsherbeny   +7 more
doaj   +1 more source