کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1864147 1037708 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On rational integrability of Euler equations on Lie algebra so(4,C), revisited
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On rational integrability of Euler equations on Lie algebra so(4,C), revisited
چکیده انگلیسی
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It is known that this system always admits three functionally independent polynomial first integrals. We prove that if the system has a rational first integral functionally independent of the known three ones (so-called fourth integral), then it has a polynomial fourth first integral. This is a consequence of a more general fact that for these systems the existence of a Darboux polynomial with non vanishing cofactor implies the existence of a polynomial fourth integral.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 373, Issue 29, 29 June 2009, Pages 2445-2453
نویسندگان
, , ,