کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10735909 1045066 2005 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Towards an approximation of solitary-wave solutions of non-integrable evolutionary pdes via symmetry and qualitative analysis
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Towards an approximation of solitary-wave solutions of non-integrable evolutionary pdes via symmetry and qualitative analysis
چکیده انگلیسی
It is well known that various wave patterns observed in open dissipative systems are described by nonlinear PDEs, being not, as a rule, completely integrable. Yet the information about the existence of solutions describing the wave patterns (periodic, kink-like, soliton-like regimes and so on) within the dissipative model can be obtained by means of qualitative theory methods. In this work we show how it is possible, using the self-similar reduction and the qualitative analysis, to find approximated solutions to evolutionary PDEs, describing the solitary wave regimes. We apply this approach to the nonlinear d'Alembert equation and the hyperbolic generalization of the Burgers equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 56, Issue 3, December 2005, Pages 421-436
نویسندگان
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