کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8255420 | 1533707 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A geometric construction of solutions of the strict dKP(Î0) hierarchy
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A geometric construction of solutions of the strict dKP(Î0) hierarchy A geometric construction of solutions of the strict dKP(Î0) hierarchy](/preview/png/8255420.png)
چکیده انگلیسی
In a previous paper we associated to each invertible constant pseudo difference operator Î0 of degree one, two integrable hierarchies in the algebra of pseudo difference operators PsÎ, the so-called dKP(Î0) hierarchy and its strict version. We show here first that both hierarchies can be described as the compatibility conditions for a proper linearization. Next we present a geometric framework for the construction of solutions of the hierarchies, i.e. we associate to each hierarchy an infinite dimensional variety such that to each point of the variety one can construct a solution of the corresponding hierarchy. This yields a Segal-Wilson type framework for all these integrable hierarchies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 131, September 2018, Pages 189-203
Journal: Journal of Geometry and Physics - Volume 131, September 2018, Pages 189-203
نویسندگان
G.F. Helminck, V.A. Poberezhny, S.V. Polenkova,