کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615360 | 1339314 | 2015 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exact solutions of semilinear radial Schrödinger equations by separation of group foliation variables
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Explicit solutions are obtained for a class of semilinear radial Schrödinger equations with power nonlinearities in multi-dimensions. These solutions include new similarity solutions and other new group-invariant solutions, as well as new solutions that are not invariant under any symmetries of this class of equations. Many of the solutions have interesting analytical behavior connected with blow-up and dispersion. Several interesting nonlinearity powers arise in these solutions, including the case of the critical (pseudo-conformal) power. In contrast, standard symmetry reduction methods lead to nonlinear ordinary differential equations for which few if any explicit solutions can be derived by standard integration methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 2, 15 July 2015, Pages 759–786
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 2, 15 July 2015, Pages 759–786
نویسندگان
Stephen C. Anco, Wei Feng, Thomas Wolf,