Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity

K. M. Tamizhmani; K. Krishnakumar; P. G. L. Leach

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arXiv · 1504.00105

Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity

K. M. Tamizhmani·K. Krishnakumar·P. G. L. Leach

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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.

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K. M. Tamizhmani, K. Krishnakumar, P. G. L. Leach. 2015-04-01. Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity. https://arxiv.org/abs/1504.00105

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