کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154403 1462578 2019 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Invariant characterization of third-order ordinary differential equations u″′=f(x,u,u′,u″) with five-dimensional point symmetry group
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Invariant characterization of third-order ordinary differential equations u″′=f(x,u,u′,u″) with five-dimensional point symmetry group
چکیده انگلیسی
The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation u″′=f(x,u,u′,u″) which admits a five-dimensional point symmetry Lie algebra. The invariant characterization is given in terms of the function f in a compact form. A simple procedure to construct the equivalent canonical form by use of an obtained constant invariant is also presented. We also show how one obtains the point transformation that does the reduction to linear form. Moreover, some applications are provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 627-636
نویسندگان
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