Results 11 to 20 of about 11,567,127 (180)

Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]

Serbian Journal of Electrical Engineering, 2016
The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed, Al-Nowehy Abdul-Ghani   +1 more
doaj   +3 more sources

Complementary wave solutions for the long-short wave resonance model via the extended trial equation method and the generalized Kudryashov method

Open Physics, 2018
In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the ...
Cimpoiasu Rodica, Pauna Alina Streche
doaj   +3 more sources

Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]

Symmetry, 2018
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov method for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical ...
Rathinavel Silambarasan, Adem Kilicman
openaire   +4 more sources

Lump and breather interaction with different soliton solutions for the generalized doubly dispersive equation by embedded the neural networks [PDF]

Scientific Reports
In this study, we present the neural networks generalized Kudryashov (NNGK) method for the first time to explore exact solutions of the generalized doubly dispersive equation.
Muhammad Qasim, Ahmad Shafee, Fengping Yao, Muhammad Zafarullah Baber, Yakup Yildirim, Baboucar Ceesay, Nauman Ahmed   +6 more
doaj   +2 more sources

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions.
Gaber, Ahmed A., Ahmad, Hijaz
openaire   +4 more sources

The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

Revista Mexicana de Física, 2020
In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
Gurefe, Yusuf
openaire   +2 more sources

APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
In this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple.
Zeynep Aydın, Filiz Taşcan
openaire   +4 more sources

Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]

Scientific Reports
This study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek, Hamdy M. Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +2 more sources

Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics [PDF]

Symmetry, 2023
In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics. Specifically, our focus centers on obtaining novel exact solutions for three pivotal equations: the time-fractional seventh-order Sawada-Kotera-Ito equation, the time ...
Ekici, Mustafa, Mustafa Ekici
openaire   +3 more sources

Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

Journal of the Egyptian Mathematical Society, 2017
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Khaled Gepreel
exaly   +3 more sources