کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627001 1631803 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New solutions for solving Boussinesq equation via potential symmetries method
ترجمه فارسی عنوان
راه حل های جدید برای حل معادله بوسانسک با استفاده از روش تقارن بالقوه
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

This work deals with the Boussinesq equation that describes the propagation of the solitary waves with small amplitude on the surface of shallow water. Firstly, the equation is written in a conserved form, a potential function is then assumed reducing it to a system of partial differential equations. The Lie-group method has been applied for determining symmetry reductions of the system of partial differential equations. The solution of the problem by means of Lie-group method reduces the number of independent variables in the given partial differential equation by one leading to nonlinear ordinary differential equations. The resulting non-linear ordinary differential equations are then solved numerically using MATLAP package.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 251, 15 January 2015, Pages 225–232
نویسندگان
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