کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626207 1631783 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational discretizations for the generalized Rosenau-type equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Variational discretizations for the generalized Rosenau-type equations
چکیده انگلیسی

The generalized Rosenau-type equations include the Rosenau–RLW equation and the Rosenau–KdV equation, which both admit the third-order Lagrangians. In the Lagrangian framework, this paper presents the variational formulations of the generalized Rosenau-type equations as well as their multisymplectic structures. Based on the discrete variational principle, we construct the variational discretizations for solving the evolutions of solitary solutions of this class of equations. We simulate the motion of the single solitary wave, and also observe the different kind of collisions for the generalized Rosenau-type equations with various coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 271, 15 November 2015, Pages 860–873
نویسندگان
, , ,