Results 71 to 80 of about 1,090 (181)

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki, Md. Shahinur Islam, Shikha Binwal   +8 more
wiley   +1 more source

TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

Romanian Journal of Mathematics and Computer Science, 2016
The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj  

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

Optical solitons for the dispersive concatenation model with spatio-temporal dispersion having multiplicative white noise

Results in Physics
This investigation of the current work presents the dispersive concatenation model that integrates the spatio-temporal dispersion and the effect of multiplicative white noise in the Itô sense. The study aims to secure stochastic optical soliton solutions
Ahmed H. Arnous, Ahmed M. Elsherbeny, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Nehad Ali Shah, Jae Dong Chung   +6 more
doaj   +1 more source

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

Journal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov   +2 more
doaj   +1 more source

Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

Моделирование и анализ информационных систем, 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
doaj   +1 more source

Soft Law as International Financial Regulation Method in the Foreign Financial Law Doctrine

Московский журнал международного права, 2013
The article deals with the foreign approaches to soft law as a range of non-binding instruments issued by the international financial institutions. Soft-law method is widely recognized and has practical application in all areas of international financial
V. V. Kudryashov
doaj   +1 more source

Local conservation laws, symmetries, and exact solutions for a Kudryashov‐Sinelshchikov equation

Mathematical Methods in the Applied Sciences, 2017
In this paper, we consider a Kudryashov‐Sinelshchikov equation that describes pressure waves in a mixture of a liquid and gas bubbles taking into consideration the viscosity of liquid and the heat transfer between liquid and gas bubbles. We show that this equation is rich in conservation laws. These conservation laws have been found by using the direct
M. S. Bruzón, E. Recio, R. de la Rosa, M. L. Gandarias   +3 more
openaire   +3 more sources

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source

Implicit Quiescent Optical Soliton Perturbation Having Nonlinear Chromatic Dispersion and Linear Temporal Evolution with Kudryashov’s Forms of Self–Phase Modulation Structure by Lie Symmetry

East European Journal of Physics
The paper retrieves implicit quiescent optical solitons for the nonlinear Schr¨odinger’s equation that is taken up with nonlinear chromatic dispersion and linear temporal evolution.
Abdullahi Rashid Adem, Ahmed H. Arnous, Hamlet Isakhanli, Oswaldo Gonz´alez–Gaxiola, Anjan Biswas   +4 more
doaj   +1 more source