کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1864493 1530656 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Invariant sets and solutions to higher-dimensional reaction–diffusion equations with source term
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Invariant sets and solutions to higher-dimensional reaction–diffusion equations with source term
چکیده انگلیسی

The invariant set and solutions of the two-dimensional reaction–diffusion equation with source term ut=A(u)uxx+B(u)uyy+C(u)ux2+D(u)uy2+Q(u), is discussed. It is shown that there exist a class of solutions to the equation which belong to the invariant set E0={u:ux=vxF(u),uy=vyF(u)}, where v is some smooth function of x and y and F is smooth function of u to be determined. The approach is also developed to deal with the N-dimensional reaction–diffusion equations with source term.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 354, Issues 5–6, 12 June 2006, Pages 437–444
نویسندگان
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