کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6421094 1631807 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation
چکیده انگلیسی


- Use of the adjoint method, to obtain optimal Lie vectors.
- A reduction of the JM equation to ordinary differential equations and detection of Lie symmetries.
- Test if these symmetries are hidden.
- Analysis and plot of results.
- Comparison with previous work in the field.

Analytical solutions of a '(2 + 1)' dimensional nonlinear model using the Jaulent-Miodek hierarchy are investigated following a similarity reduction procedure. For this adjoint Lie matrices are first evaluated and an extensive list of optimal Lie vectors is obtained. The systematic reduction of Jaulent-Miodek evolution equation to lower number of variables leads to hidden symmetries and new solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 247, 15 November 2014, Pages 1141-1155
نویسندگان
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