Results 11 to 20 of about 57,739 (263)
Applied Sciences, 2022 An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li +3 more
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Journal of Applied Mathematics, 2012 We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
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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
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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Journal of Function Spaces, 2022 Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li +5 more
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Entropy, 2022 Exact solutions of nonlinear differential equations are of great importance to the theory and practice of complex systems. The main point of this review article is to discuss a specific methodology for obtaining such exact solutions.
Nikolay K. Vitanov
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On the boundedness of solutions of nonlinear differential equations. [PDF]
Proceedings of the American Mathematical Society, 1957 1. In this note we shall derive some criteria for the boundedness of solutions of nonlinear differential equations by means of a simple lemma given below. We shall also consider when a solution of a differential equation is unbounded. We shall say that the function h(x, r) possesses the property I if h(x, r)^0 for the specified range of values of x and
openaire +2 more sources
Periodic orbits near equilibria via averaging theory of second order
Mathematical Modelling and Analysis, 2012 Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral.
Luis Barreira +2 more
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The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Results in PhysicsDue to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
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Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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