Results 31 to 40 of about 2,106 (198)

Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics

Journal of Ocean Engineering and Science, 2016
The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation.
S. Saha Ray, S. Sahoo
doaj   +1 more source

Periodic traveling wave, bright and dark soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries system of equations by using three different methods

AIMS Mathematics, 2022
In this paper, the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) equations are studied using the sine-cosine method, the tanh-coth method, and the Kudryashov method.
Gaukhar Shaikhova, Bayan Kutum, Ratbay Myrzakulov   +2 more
doaj   +1 more source

Soliton Solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp -expansion function method

Revista Mexicana de Física, 2021
This paper addresses the Heisenberg ferromagnetic spin chain equation with beta time derivative. Integration schemes are used to study this equation. They are generalized Kudryashov method and modified exp -expansion function method. Dark, bright and dark-bright soliton solutions of this equation are procured.
S. Tuluce Demiray, U. Bayrakci
openaire   +2 more sources

The system of equations for the ion sound and Langmuir waves and its new exact solutions

Results in Physics, 2018
The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy, D. Kumar, K. Hosseini, F. Samadani   +3 more
doaj   +1 more source

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

Journal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Some Latest Families of Exact Solutions to Date–Jimbo–Kashiwara–Miwa Equation and Its Stability Analysis

Mathematics, 2023
The present study demonstrates the derivation of new analytical solutions for the Date–Jimbo–Kashiwara–Miwa equation utilizing two distinct methodologies, specifically the modified Kudryashov technique and the (g′)-expansion procedure.
Arzu Akbulut, Rubayyi T. Alqahtani, Nadiyah Hussain Alharthi   +2 more
doaj   +1 more source

A new study of soliton solutions for the variable coefficients Caudrey–Dodd–Gibbon equation

Journal of Taibah University for Science, 2022
We present a paper on the different methods for finding solutions to the Caudrey–Dodd–Gibbon equation with variable coefficients, which has wide applications in quantum mechanics and nonlinear optics.
Qinglian Yin, Ben Gao
doaj   +1 more source

Construction of multiple new analytical soliton solutions and various dynamical behaviors to the nonlinear convection-diffusion-reaction equation with power-law nonlinearity and density-dependent diffusion via Lie symmetry approach together with a couple of integration approaches

Journal of Ocean Engineering and Science, 2023
By taking advantage of three different computational analytical methods: the Lie symmetry analysis, the generalized Riccati equation mapping approach, and the modified Kudryashov approach, we construct multiple new analytical soliton solutions to the ...
Shoukry El-Ganaini, Sachin Kumar, Monika Niwas   +2 more
doaj   +1 more source

Solitary Wave Solutions of the Generalized (3+1)-Dimensional Shallow Water-Like Equation by using modified Kudryashov method

Adıyaman University Journal of Science, 2021
In this study, the generalized (3+1)-dimensional Shallow Water-Like (SWL) equation, which is one of the evolution equations, is taken into consideration. With the help of this evolution equation discussed, the modified Kudryashov method, traveling wave solutions are successfully obtained.
openaire   +3 more sources

Construction of Analytical Solutions to the Conformable New (3+1)-Dimensional Shallow Water Wave Equation

Journal of New Theory, 2023
This study investigates the new (3+1)-dimensional shallow water wave equation. To do so, the definitions of conformable derivatives and their descriptions are given.
Mehmet Şenol, Mehmet Gençyiğit
doaj   +1 more source