کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10736164 | 1045362 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications](/preview/png/10736164.png)
چکیده انگلیسی
We study differential-geometric and topological structures related with Delsarte transmutations of multi-dimensional differential operators in Hilbert spaces. Based on the naturally defined de Rham-Hodge-Skrypnik differential complex the relationships with spectral theory and special Berezansky type congruence properties of Delsarte transmuted operators are stated. Some applications to multi-dimensional differential operators are done including three-dimensional Laplace operator, two-dimensional classical Dirac operator and its multidimensional affine extension, related with self-dual Yang-Mills equations. The soliton-like solutions to the related set of nonlinear dynamical systems are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 55, Issue 3, June 2005, Pages 351-370
Journal: Reports on Mathematical Physics - Volume 55, Issue 3, June 2005, Pages 351-370
نویسندگان
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko, Anatoliy K. Prykarpatsky,