کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418234 | 1339325 | 2014 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation](/preview/png/6418234.png)
چکیده انگلیسی
We find the Lie point symmetries of a class of second-order nonlinear diffusion-convection-reaction equations containing an unspecified coefficient function of the independent variable t and determine the subclasses of these equations which are nonlinearly self-adjoint. By using a general theorem on conservation laws proved recently by N.H. Ibragimov we establish conservation laws corresponding to the aforementioned Lie point symmetries, one by one, for the simultaneous system of the original equation together with its adjoint equation through a formal Lagrangian. Particularly, for the nonlinearly self-adjoint subclasses, we construct conservation laws for the corresponding equations themselves.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 420, Issue 1, 1 December 2014, Pages 77-93
Journal: Journal of Mathematical Analysis and Applications - Volume 420, Issue 1, 1 December 2014, Pages 77-93
نویسندگان
Zhijie Cao, Yiping Lin, Jianwei Shen,