Nonlinear ordinary differential equations: A discussion on symmetries and singularities Page 1
International Journal of Geometric Methods in Modern Physics Vol. 13, No. 7 (2016) 1630009 …

The characteristic feature of the Kepler Problem is the existence of the so-called Laplace—
Runge—Lenz vector which enables a very simple discussion of the properties of the orbit for …

In this paper we discuss the package DESOLV written for the algebraic computing system
MAPLE. DESOLV has routines which will systematically obtain with considerably flexibility …

In this paper, we obtain an approximate implicit solution admitted by the Lane-Emden
equation y ″+(2/x) y′+ ey= 0 describing the dimensionless density distribution in an …

This paper obtains exact solutions of a new coupled Kadomtsev–Petviashvili system, which
arises in the analysis of various problems in fluid mechanics, theoretical physics and many …

We present the package SADE (Symmetry Analysis of Differential Equations) for the
determination of symmetries and related properties of systems of differential equations. The …

We determine the Lie point symmetries of the Schrödinger and the Klein–Gordon equations
in a general Riemannian space. It is shown that these symmetries are related with the …

We present and describe, with illustrative examples, the MAPLE computer algebra package
DESOLVII, which is a major upgrade of DESOLV. DESOLVII now includes new routines …

Autonomous systems of ordinary differential equations can be rewritten as systems of first
order ordinary differential equations and one of the dependent variables chosen as a new …

In this paper we consider a model describing the temperature profile in a longitudinal fin with
a rectangular profile attached to a stationary base surface. The heat transfer coefficient is …