On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type

Gülden Gün Polat and Teoman Özer

Advances in Mathematical Physics, 2014, vol. 2014, 1-16

Abstract:

In this study we apply partial Noether and -symmetry approaches to a second-order nonlinear autonomous equation of the form , called Liénard equation corresponding to some important problems in classical mechanics field with respect to and functions. As a first approach we utilize partial Lagrangians and partial Noether operators to obtain conserved forms of Liénard equation. Then, as a second approach, based on the -symmetry method, we analyze -symmetries for the case that -function is in the form of . Finally, a classification problem for the conservation forms and invariant solutions are considered.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:107895

DOI: 10.1155/2014/107895

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