Group Analysis of Nonlinear Fin Equations
Mathematical Physics
2008-11-18 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. They allow to simplify results of classification and further applications of them. The derived Lie symmetries are used to construct exact solutions of truly nonlinear equations for the class under consideration. Nonclassical symmetries of the fin equations are discussed. Adduced results amend and essentially generalize recent works on the subject [M. Pakdemirli and A.Z. Sahin, Appl. Math. Lett., 2006, V.19, 378-384; A.H. Bokhari, A.H. Kara and F.D. Zaman, Appl. Math. Lett., 2006, V.19, 1356-1340].
Cite
@article{arxiv.math-ph/0610006,
title = {Group Analysis of Nonlinear Fin Equations},
author = {O. O. Vaneeva and A. G. Johnpillai and R. O. Popovych and C. Sophocleous},
journal= {arXiv preprint arXiv:math-ph/0610006},
year = {2008}
}
Comments
6 pages