کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840461 908481 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear self-adjointness of a 2D generalized second order evolution equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Nonlinear self-adjointness of a 2D generalized second order evolution equation
چکیده انگلیسی

We study the nonlinear self-adjointness of a general class of quasilinear 2D second order evolution equations which do not possess variational structure. For this purpose, we use the method of Ibragimov, devised and developed recently. This approach enables one to establish the conservation laws for any differential equation. We first obtain conditions determining the self-adjoint sub-class in the general case. Then, we establish the conservation laws for important particular cases: the Ricci Flow equation, the modified Ricci Flow equation and the nonlinear heat equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 13, September 2012, Pages 5069–5078
نویسندگان
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