کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5500177 1533725 2017 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized Volterra lattices: Binary Darboux transformations and self-consistent sources
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Generalized Volterra lattices: Binary Darboux transformations and self-consistent sources
چکیده انگلیسی
We study two families of matrix versions of generalized Volterra (or Bogoyavlensky) lattice equations. For each family, the equations arise as reductions of a partial differential-difference equation in one continuous and two discrete variables, which is a realization of a general integrable equation in bidifferential calculus. This allows to derive a binary Darboux transformation and also self-consistent source extensions via general results of bidifferential calculus. Exact solutions are constructed from the simplest seed solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 113, March 2017, Pages 226-238
نویسندگان
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