کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900339 1631560 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a three-dimensional Riccati differential equation and its symmetries
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On a three-dimensional Riccati differential equation and its symmetries
چکیده انگلیسی
A three-dimensional Riccati differential equation of complex quaternion-valued functions is studied. Many properties similar to those of the ordinary differential Riccati equation such that linearization and Picard theorem are obtained. Lie point symmetries of the quaternionic Riccati equation are calculated as well as the form of the associated three-dimensional potential of the Schrödinger equation. Using symmetry reductions and relations between the three-dimensional Riccati and the Schrödinger equation, examples are given to obtain solutions of both equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 1, 1 February 2018, Pages 611-627
نویسندگان
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