کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8255413 1533707 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations
چکیده انگلیسی
We found two three-component nonlocal conservation laws for the 3D rdDym equation, the universal hierarchy equation, the modified Veronese web equation, and the Veronese web equation. The aforementioned equations together with Pavlov's equation are related via Bäcklund transformations. We study correspondences between the nonlocal conservation laws yielded by the Bäcklund transformations. In particular, we prove that the nonlocal conservation laws that depend on one pseudopotential are generated from a local conservation law of the Veronese web equation via appropriate superpositions of the Bäcklund transformations. Also, we prove nontriviality of the conservation laws found in the paper as well as the ones found in Makridin and Pavlov (2017) for the Khokhlov-Zabolotskaya equation and Pavlov's equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 131, September 2018, Pages 89-100
نویسندگان
, ,