کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632762 1631835 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie group classification of the generalized Lane–Emden equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Lie group classification of the generalized Lane–Emden equation
چکیده انگلیسی

We carry out the Lie group classification of the generalized Lane–Emden equation xu″+nu′+xH(u)=0xu″+nu′+xH(u)=0, which has many applications in mathematical physics and astrophysics. We show that the equation admits a three-dimensional equivalence Lie algebra. It is also shown that the principal Lie algebra, which in this case is trivial, has seven possible extensions. Three new cases arise for which the Lie point symmetry algebra is non-trivial. Comparison is then made of these cases with the Noether symmetry cases as well as the partial Noether operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 210, Issue 2, 15 April 2009, Pages 405–410
نویسندگان
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