Results 81 to 90 of about 127,328,871 (181)

White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives [PDF]

Advances in Difference Equations, 2020
AbstractThe aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation. So, a new technique, which we call “the general improved Kudryashov method (GIKM)”, is introduced to produce exact solutions for the nonlinear ...
openaire   +3 more sources

On the Dispersive Optical Pulses in Fiber Optics of the Conformable (2 + 1)‐Dimensional Hirota–Maccari System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li, Mesut Balibey, Shafqat Ur Rehman, Muhammad Bilal, Smritijit Sen   +4 more
wiley   +1 more source

Numerical Solutions of the Conformable Time‐Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation With Proportional Delay by Using the Novel Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan, Funda Turk, Hasan Bulut, Ercan Çelik, Smritijit Sen   +4 more
wiley   +1 more source

Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation [PDF]

, 2018
This thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth
Hilton, William
core  

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation [PDF]

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
core  

ESTIMASI PARAMETER PADA STANDARD CAPM (CAPITAL ASSETS PRICING MODEL) DENGAN METODE GMM (GENERALIZED METHOD OF MOMENTS)

, 2014
Tujuan utama dari analisis regresi adalah menduga parameter yang tidak diketahui dalam model. Tiga metode estimasi populer yang banyak digunakan adalah kuadrat terkecil (Least-Squares) dan likelihood maksimum (Maximumum Likelihood) dan metode momen ...
ESTIMASI PARAMETER PADA STANDARD CAPM (CAPITAL ASSETS PRICING MODEL) DENGAN METODE GMM (GENERALIZED METHOD OF MOMENTS)
core  

Non Linear Proper Generalized Decomposition method applied to the magnetic simulation of a SMC microstructure [PDF]

, 2012
Improvement of the magnetic performances of Soft Magnetic Composites (SMC) materials requires to link the microstructures to the macroscopic magnetic behavior law.
CLENET, Stephane, BENABOU, Abdelkader, HENNERON, Thomas   +2 more
core   +1 more source

Pfaffian solutions and nonlinear dynamics of surface waves in two horizontal and one vertical directions with dispersion, dissipation and nonlinearity effects

Alexandria Engineering Journal
This study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a crucial nonlinear evolution equation governing wave motion across various physical domains.
Mostafa M.A. Khater
doaj   +1 more source

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Entropy, 2015
In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
doaj   +1 more source

Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing

Nonlinear Analysis
This paper extensively studies the propagation of optical solitons within the framework of (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations.
Hanaa A. Eldidamony, Ahmed H. Arnous, Mohammad Mirzazadeh, Mir Sajjad Hashemi, Mustafa Bayram   +4 more
doaj   +1 more source