Abstract

On Certain Equivalence Transformations

M.Torrisi (Department of Mathematics and Informatics, University of Catania, Catania, Italy)

e-mail: torrisi@dmi.unict.it

We consider here a class of system of partial differential equations continuously depending from a parameter. The equivalence transformations for this class offer the possibilty to costruct a change of independent and dependent variables to write the system in a new form which, quite often,allows get easily new exact solution or approximate solutions. 1. M. Senthilvelan, M. Torrisi,  Equivalence transformations and approximate solutions of a nonlinear heat conduction model, J.Phys.A:Math. Gen. 31 (1998),10005-10016.

Section : 12