کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844947 908636 2006 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems
چکیده انگلیسی

A review on spectral and differential-geometric properties of Delsarte transmutation operators in multidimension is given. Their differential-geometric and topological structure of Delsarte transmutation operators and associated with them Gelfand–Levitan–Marchenko type equations are studied making use of the generalized de Rham–Hodge–Skrypnik differential complex. The relationships with spectral theory and special Berezansky type congruence properties of Delsarte transmutated operators are stated. Some applications to integrable dynamical systems theory in multidimension are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 65, Issue 2, 15 July 2006, Pages 395–432
نویسندگان
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