کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625528 1631765 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reductions of PDEs to second order ODEs and symbolic computation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Reductions of PDEs to second order ODEs and symbolic computation
چکیده انگلیسی

A new method to obtain second-order reductions for ordinary differential equations which are polynomial in the derivatives of the dependent variable is presented. The method is applied to obtain reductions and new solutions to several well-known equations of mathematical physics: a lubrication equation, a thin-film equation, the Zoomeron equation and a family of 5th−5th−order partial differential equations which includes the Caudrey–Dodd–Gibbon–Sawada–Kotera, Kaup–Kupershmidt, Ito and Lax equations. Some pieces of computer algebra code to derive the reductions are also included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 291, 1 December 2016, Pages 122–136
نویسندگان
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