کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841754 1470526 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé–Gambier type
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé–Gambier type
چکیده انگلیسی

We employ the generalized Sundman transformation method to obtain certain new first integrals of autonomous second-order ordinary differential equations belonging to the Painlevé–Gambier classification scheme. This method not only yields systematically the known first integrals of a large number of the Painlevé–Gambier equations but also some time dependent ones, which greatly simplify the computation of their corresponding solution. In addition we also compute the Sundman symmetries of these equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 7–8, 1 April 2010, Pages 3247–3257
نویسندگان
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