کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419467 | 1339409 | 2011 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalized conditional symmetries of evolution equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We analyze the relationship of generalized conditional symmetries of evolution equations to the formal compatibility and passivity of systems of differential equations as well as to systems of vector fields in involution. Earlier results on the connection between generalized conditional invariance and generalized reduction of evolution equations are revisited. This leads to a no-go theorem on determining equations for operators of generalized conditional symmetry. It is also shown that up to certain equivalences there exists a one-to-one correspondence between generalized conditional symmetries of an evolution equation and parametric families of its solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 379, Issue 1, 1 July 2011, Pages 444-460
Journal: Journal of Mathematical Analysis and Applications - Volume 379, Issue 1, 1 July 2011, Pages 444-460
نویسندگان
Michael Kunzinger, Roman O. Popovych,