Results 161 to 170 of about 3,841 (206)

Dynamical study of different types of soliton solutions with bifurcation, chaos and sensitivity analysis to the non-linear coupled Schrödinger model. [PDF]

Sci Rep
Nasir R, Abbas M, Alharthi MR, Nazir T, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source

Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation. [PDF]

Sci Rep
Shakeel M, Zafar A, Alameri A, Junaid U Rehman M, Awrejcewicz J, Umer M, Zahid M, Sooppy Nisar K.   +7 more
europepmc   +1 more source

An encyclopedia of Kudryashov’s integrability approaches applicable to optoelectronic devices

Optik, 2022
Purpose: In the last decades, many researchers have performed their best in order to find the solution of the nonlinear evolution equations, nonlinear partial differential equations (NLPDEs), fractional nonlinear partial differential equations and nonlinear optical models by using Kudryashov methods, which have various forms.
Mustafa Bayram, Aydin Seçer, Huseyin Aydin   +2 more
exaly   +4 more sources

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Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods

Optical and Quantum Electronics, 2021
This article is concerned with analyzing exact optical soliton solutions to Kudryashov’s model. To this end, the sine-Gordon expansion and Kudryashov methods are exerted and a bunch of new optical soliton solutions is acquired. The implementation and algebraic methods are discussed in detail.
Reza Ansari, Khalid K Ali, Hadi Rezazadeh   +2 more
exaly   +2 more sources

Exact solutions of the Kudryashov–Sinelshchikov equation [PDF]

Applied Mathematics and Computation, 2010
The Kudryashov-Sinelshchikov equation for describing the pressure waves in liquid with gas bubbles is studied. New exact solution of this equation are found. Modification of truncated expansion method is used for obtaining exact solution of this equation.
Pavel Ryabov
exaly   +5 more sources

Solvability of the Gakhov Equation in S. N. Kudryashov’s Example

Lobachevskii Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gimadeeva Aygul Rafailevna, Kazantsev Andrei Vitalievich   +1 more
openaire   +2 more sources

Stationary optical solitons with Kudryashov’s laws of refractive index

Chaos, Solitons & Fractals, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekici, Mehmet, Sonmezoglu, Abdullah, Biswas, Anjan   +2 more
openaire   +2 more sources

Optical solitons with Kudryashov’s equation by F-expansion

Optik, 2019
Abstract The dynamics of solitons, with newly modeled Kudryashov’s equation, is revealed in this paper by the aid of F-expansion scheme. Thus, bright, dark and singular solitons emerged from it as well as complexiton solutions are presented. The sustaining criteria for the solitons are also enumerated.
Mehmet Ekici, Ali Alshomrani, Milivoj Belić   +2 more
exaly   +2 more sources

New exact solutions of the conformable time-fractional Cahn–Allen and Cahn–Hilliard equations using the modified Kudryashov method

Optik, 2017
Our concern in the present paper is to generate a few new explicit and exact solutions for the time-fractional Cahn-Allen and Cahn-Hilliard equations in the context of the conformable fractional derivative.
Ahmet Bekir, Reza Ansari
exaly   +2 more sources

Cnoidal waves governed by the Kudryashov–Sinelshchikov equation

Physics Letters A, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Randrüüt, Merle, Braun, Manfred
openaire   +1 more source