Report
A Semi-Algorithmic Search for Lie Symmetries
| العنوان: | A Semi-Algorithmic Search for Lie Symmetries |
|---|---|
| المؤلفون: | Duarte, L. G. S., da Mota, L. A. C. P. |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics Nonlinear Sciences Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | In [Solving second order ordinary differential equations by extending the Prelle-Singer method, J. Phys. A: Math.Gen., 34, 3015-3024 (2001)] we defined a function (we called S) associated to a rational second order ordinary differential equation (rational 2ODE) that is linked to the search of an integrating factor. In this work we investigate the relation between these $S$-functions and the Lie symmetries of a rational 2ODE. Based on this relation we can construct a semi-algorithmic method to find the Lie symmetries of a 2ODE even in the case where it presents no Lie point symmetries. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1007.2861 |
| رقم الانضمام: | edsarx.1007.2861 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |