Results 21 to 30 of about 14,001 (265)

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

open access: yesМоделирование 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

An ordinary integro-differential equation with a degenerate kernel and an integral condition

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
doaj   +1 more source

Vortex-Induced Nonlinear Bending Vibrations of Suspension Bridges with Static Wind Loads

open access: yesBuildings, 2023
A low stiffness makes long-span suspension bridges sensitive to loads, and this sensitivity is particularly significant for wind-induced nonlinear vibrations.
Ji Yao, Kun Huang, Tianpeng Li
doaj   +1 more source

Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations

open access: yesМоделирование и анализ информационных систем, 2014
The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj   +1 more source

The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations

open access: yesAbstract and Applied Analysis, 2012
The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
doaj   +1 more source

Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense

open access: yesResults in Physics, 2023
The main objective of this paper is to study the soliton solutions and dynamics analysis of the fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense. Firstly, the wave transformation is used to obtain the
Chen Peng, Zhao Li
doaj   +1 more source

Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines

open access: yesCumhuriyet Science Journal, 2022
This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı   +2 more
doaj   +1 more source

Nonlinear ordinary differential equations: A discussion on symmetries and singularities [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2016
Two essential methods, the symmetry analysis and the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations is the purpose of this work. The main similarities and the differences of these two different methods are discussed.
Andronikos Paliathanasis, P. G. L. Leach
openaire   +3 more sources

Soliton solutions to the time-dependent coupled KdV–Burgers’ equation

open access: yesAdvances in Difference Equations, 2019
In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
doaj   +1 more source

Searching closed form analytic solutions to some nonlinear fractional wave equations

open access: yesArab Journal of Basic and Applied Sciences, 2021
Numerous tangible incidents in physics, chemistry, applied mathematics and engineering are described successfully by means of models making use of the theory of derivatives of fractional order and research in this area has grown significantly.
Md. Tarikul Islam   +2 more
doaj   +1 more source

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