JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. V. Linearization of Coupled Second-Order Equations

Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...
JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. IV. Coupled Second-Order Equations

Coupled second-order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordinary differential ...
IEEE

Non-local Linearization of Nonlinear Differential Equations via Polyflows

Abstract: Motivated by the mathematics literature on the algebraic properties of so-called “polynomial vector flows”, we propose a technique for approximating nonlinear differential equations by ...
Scientific Research Publishing

Application of the Hybrid Differential Transform Method to the Nonlinear Equations ()

Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. In ...
INSPIRE

Linearization of Newton's second law

The geometric linearization of nonlinear differential equation is a robust method for the construction of analytic solutions. The method is related to the existence of Lie symmetries which can be used ...
IEEE

Analytical Identification of Polynomial Nonlinear Systems With Uncontrollable Linearization

Abstract: Recently, system identification (SID)based on center manifold (CM) is proposed to identify polynomial nonlinear systems (PNSs) analytically. With this method, estimating the unknown ...
Scientific Research Publishing

Analytical Solutions of Nonlinear Differential Equations in the Mathematical Model for Inactivation of Nitric Oxide by Rat Cerebellar Slices ()

1 Department of Mathematics, K.L.N. College of Engineering, Sivagangai, India. 2 Department of Mathematics, The Madura College, Madurai, India. Nitric oxide is an important biological regulator and is ...
Frontiers

On the approximations to fractional nonlinear damped Burger’s-type equations that arise in fluids and plasmas using Aboodh residual power series and Aboodh transform ...

Damped Burger’s equation describes the characteristics of one-dimensional nonlinear shock waves in the presence of damping effects and is significant in fluid dynamics, plasma physics, and other ...