Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity
Exactly Solvable and Integrable Systems
2015-04-02 v1
Abstract
We examine the reductions of the order of certain third- and second-order nonlinear equations with arbitrary nonlinearity through their symmetries and some appropriate transformations. We use the folding transformation which enables one to change from a nonlinearity with an arbitrary exponent to a nonlinearity with a specific numerical exponent.
Keywords
Cite
@article{arxiv.1504.00105,
title = {Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity},
author = {K. M. Tamizhmani and K. Krishnakumar and P. G. L. Leach},
journal= {arXiv preprint arXiv:1504.00105},
year = {2015}
}