کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631764 1340628 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact solutions of KdV equation with time-dependent coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Exact solutions of KdV equation with time-dependent coefficients
چکیده انگلیسی
In this paper, we study the Korteweg-de Vries (KdV) equation having time dependent coefficients from the Lie symmetry point of view. We obtain Lie point symmetries admitted by the equation for various forms for the time-dependent coefficients. We use the symmetries to construct the group-invariant solutions for each of the cases of the arbitrary coefficients. Subsequently, the 1-soliton solution is obtained by the aid of solitary wave ansatz method. It is observed that the soliton solution will exist provided that these time-dependent coefficients are all Riemann integrable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 10, 15 July 2010, Pages 3114-3119
نویسندگان
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