Results 61 to 70 of about 259 (113)

Optical soliton perturbation with Kudryashov’s generalized law of refractive index and generalized nonlocal laws by improved modified extended tanh method

open access: yesAlexandria Engineering Journal, 2022
In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity.
Islam Samir   +3 more
doaj   +1 more source

Optical solitons of the Kudryashov Equation via an analytical technique [PDF]

open access: yes
Some new optical solitons find for the Kudryashov equation (KE) in this study. These solutions are in the form of dark, bright, singular, singular-dark solitons and other solutions with certain conditions.
Bayram, Mustafa   +3 more
core   +1 more source

Theoretical Foundations of Romanticism Research in the Art Studies of the 20th – 21st Centuries: Ukrainian Perspective [PDF]

open access: yes, 2020
In the globalization era characterized by the fusion of cultural traditions of different nations, there is an alternative tendency within the humanities: the increasing focus on the problem of national-stylistic specificity of the past and present ...
Лігус, Ольга Марківна
core  

Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing [PDF]

open access: yes
This paper extensively studies the propagation of optical solitons within the framework of (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations.
Arnous, Ahmed H.   +4 more
core   +2 more sources

Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]

open access: yes, 2012
In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra.
Eslami, Mostafa, Mirzazadeh, Mohammad
core   +2 more sources

Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [PDF]

open access: yes, 2018
This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity.
Biswas, Anjan   +2 more
core   +2 more sources

Application of the Gkm to Some Nonlinear Partial Equations [PDF]

open access: yes
In this manuscript, the strain wave equation, which plays an important role in describing different types of wave propagation in microstructured solids and the (2+1) dimensional Bogoyavlensky Konopelchenko equation, is defined in fluid mechanics as the ...
Bayrakci, U, Demiray, ST, Yildirim, V
core   +1 more source

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

open access: yesAin 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   +2 more
doaj   +1 more source

Exact wave patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional NLSE [PDF]

open access: yes
In this paper, exact wave propagation patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional nonlinear Schrödinger equation are studied.
Ninghe Yang
core   +1 more source

Travelling wave solutions and conservation laws of the (2+1)-dimensional new generalized Korteweg–de Vries equation

open access: yesPartial Differential Equations in Applied Mathematics
In this study, we investigate the travelling wave solutions of the (2+1)-dimensional new generalized Korteweg–de Vries equation by employing Lie group analysis along with various techniques which include direct integration, simplest equation method and ...
Boikanyo Pretty Sebogodi   +1 more
doaj   +1 more source

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