کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1901021 1045597 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linearizability and Nonlocal Superposition for Nonlinear Transport Equation with Memory
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Linearizability and Nonlocal Superposition for Nonlinear Transport Equation with Memory
چکیده انگلیسی

Potential symmetry of a class of nonlinear transport equations taking into account the effects of memory is studied. For a specific transport coefficient the symmetry is shown to be infinite. This fact is used for constructing nonlocal transformation linearizing the transport equation. New formulae of nonlocal nonlinear superposition and generation of solutions are proposed. Additional Lie symmetries of the corresponding linear equations are used to construct nonlocal symmetries of the source equation. The formulae derived are used for the construction of exact solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 72, Issue 2, October 2013, Pages 235–252
نویسندگان
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