کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840333 908477 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie point symmetries, partial Noether operators and first integrals of the Painlevé–Gambier equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Lie point symmetries, partial Noether operators and first integrals of the Painlevé–Gambier equations
چکیده انگلیسی

We utilize the Lie–Tressé linearization method to obtain linearizing point transformations of certain autonomous nonlinear second-order ordinary differential equations contained in the Painlevé–Gambier classification. These point transformations are constructed using the Lie point symmetry generators admitted by the underlying Painlevé–Gambier equations. It is also shown that those Painlevé–Gambier equations which have a few Lie point symmetries and hence are not linearizable by this method can be integrated by a quadrature. Moreover, by making use of the partial Lagrangian approach we obtain time dependent and time independent first integrals for these Painlevé–Gambier equations which have not been reported in the earlier literature. A comparison of the results obtained in this paper is made with the ones obtained using the generalized Sundman linearization method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 1, January 2012, Pages 30–36
نویسندگان
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