Results 101 to 110 of about 496 (193)

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

, 2018
In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to
Mısırlı, Emine, Ege, Şerife Müge
core  

New Soliton Solutions of Optical Pulse Envelope E(Z, τ) with Beta Time Derivative

, 2020
This paper works on optical pulse envelope E(z, tau) with beta time derivative that considers in the region of the minimum group-velocity dispersion. Integration algorithms recover soliton solutions.
Demiray, Seyma Tuluce
core   +1 more source

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +1 more source

Be careful with the Exp-function method

, 2008
An application of the Exp-function method to search for exact solu-tions of nonlinear differential equations is analyzed. Typical mistakes of application of the Exp-function method are demonstrated.
Nadejda B. Loguinova, Nikolai A. Kudryashov   +1 more
core   +1 more source

Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity

Journal of Taibah University for Science, 2019
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy, Mujahid Iqbal, Dianchen Lu   +2 more
doaj   +1 more source

Analytical and numerical solutions to the nonlinear Klein-Gordon equation using improved Kudryashov and modified rational methods

International Journal of Mathematics and Computer in Engineering
Abstract This study investigates the nonlinear Klein–Gordon (𝕂𝔾) equation, a fundamental relativistic wave equation that governs the propagation of scalar fields across various physical contexts, including the quantum field theory, solid-state physics, and nonlinear optics.
Mostafa M.A. Khater, Aleksander Vokhmintsev, Raghda A.M. Attia   +2 more
openaire   +1 more source

Travelling Wave Solutions for Some Time-Fractional Nonlinear Differential Equations [PDF]

This study employs the powerful generalized Kudryashov method to address the challenges posed by fractional differential equations in mathematical physics.
Ekici, Mustafa
core   +1 more source

Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]

International Mathematical Forum, 2013
Yinghui He, Shaolin Li, Yao Long
openaire   +1 more source

Метод логистической функции для нахождения аналитических решений нелинейных дифференциальных уравнений

, 2015
The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions
N. A. Kudryashov, Николай Алексеевич Кудряшов   +1 more
core   +1 more source

On the structure of the higher dimensional Date-Jimbo-Kashiwara-Miwa model emerging in water waves

Discover Applied Sciences
In this paper, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is investigated. The unified method, the modified Kudryashov scheme and the extended modified auxiliary equation mapping technique are employed to construct a variety of some ...
Kalim U. Tariq, Jalil Manafian, Somaye Malmir, R. Nadir Tufail, Onur Alp Ilhan, Khaled H. Mahmoud   +5 more
doaj   +1 more source