Results 21 to 30 of about 40 (39)

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

Optical solitons and conservation laws for the concatenation model: Power–law nonlinearity

Ain Shams Engineering Journal
By investigating the concatenation model that incorporates a power-law nonlinearity, this paper provides an in-depth analysis, and the soliton solutions are derived.
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Yıldırım, Luminita Moraru, Catalina Iticescu, Simona Moldovanu, Abdulah A. Alghamdi   +7 more
doaj   +1 more source

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

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

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method

Nonlinear Analysis
In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie, Mohammad Mirzazadeh, Mostafa Eslami, Mir Sajjad Hashemi   +6 more
doaj   +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

Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic method

Alexandria Engineering Journal
In this paper, we investigate soliton solutions and other exact solutions of the highly dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form with sextic-power law of refractive index and generalized non-local laws ...
Wafaa B. Rabie, Hisham H. Hussein, Hamdy M. Ahmed, Mahmoud Alnahhass, Wassim Alexan   +4 more
doaj   +1 more source

Quiescent optical solitons in magneto–optic waveguides having Kudryashov's quintuple power–law of self–phase modulation

Ain Shams Engineering Journal
This paper investigates the propagation of quiescent optical solitons in magneto-optic waveguides governed by Kudryashov's quintuple power-law of self-phase modulation, incorporating generalized temporal evolution and nonlinear chromatic dispersion.
Elsayed M.E. Zayed, Mona El–Shater, Ahmed M. Elsherbeny, Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Puiu Lucian Georgescu, Luminita Moraru, Anwar Ja'afar Mohamad Jawad, Layth Hussein   +9 more
doaj   +1 more source