کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759750 896491 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a generalized Fisher equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
On a generalized Fisher equation
چکیده انگلیسی

A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.

Research highlights
► A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied using Lie point symmetry point of view.
► In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, diffusivity is assumed to be a function of the dependent variable to account for many real situations.
► Exact solutions in some cases of the non-linear Fisher equation are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 7, July 2011, Pages 2689–2695
نویسندگان
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