کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895363 1533736 2016 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bäcklund transformations for Darboux integrable differential systems: Examples and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Bäcklund transformations for Darboux integrable differential systems: Examples and applications
چکیده انگلیسی

In this article we demonstrate a new symmetry based method for constructing Bäcklund transformations by finding explicit Bäcklund transformations between Darboux integrable systems. This results in a number of new examples of Bäcklund transformations which are quite different in character than those typically found in the literature. The relation between the intermediate integrals for Darboux integrable systems and the differential invariants of the Vessiot group is also illustrated. We then show that a well known class of Bäcklund transformations between a Darboux integrable Monge–Ampère system and the wave equation always arises by this method. The results of this paper build upon the presentation of Darboux integrable systems as quotients of differential systems by symmetry groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 102, April 2016, Pages 1–31
نویسندگان
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