کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624244 1339536 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New conservation laws obtained directly from symmetry action on a known conservation law
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
New conservation laws obtained directly from symmetry action on a known conservation law
چکیده انگلیسی

Two formulas are introduced to directly obtain new conservation laws for any system of partial differential equations from a known conservation law and admitted symmetries. The first formula maps any conservation law of a given system to the corresponding conservation law of the system obtained through a contact transformation. When the contact transformation is a symmetry of the given system, then the corresponding conservation law is a conservation law of the given system. The second formula checks a priori whether or not the action of a symmetry (continuous or discrete) on a conservation law can yield one or more new conservation laws of the given system. Several examples are considered, including the use of a discrete symmetry to obtain a new conservation law and the use of a continuous symmetry to generate two new conservation laws.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 322, Issue 1, 1 October 2006, Pages 233-250