کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897322 1044517 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rational Ruijsenaars–Schneider hierarchy and bispectral difference operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Rational Ruijsenaars–Schneider hierarchy and bispectral difference operators
چکیده انگلیسی

We show that a monic polynomial in a discrete variable nn, with coefficients depending on time variables t1,t2,…t1,t2,…, is a ττ-function for the discrete Kadomtsev–Petviashvili hierarchy if and only if the motion of its zeros is governed by a hierarchy of Ruijsenaars–Schneider systems. These ττ-functions were considered in [L. Haine, P. Iliev, Commutative rings of difference operators and an adelic flag manifold, Int. Math. Res. Not. 2000 (6) (2000) 281–323], where it was proved that they parametrize rank one solutions to a difference–differential version of the bispectral problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 229, Issue 2, 15 May 2007, Pages 184–190
نویسندگان
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