کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635385 | 1340710 | 2007 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A finite difference scheme for the MRLW and solitary wave interactions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The modified regularized long wave (MRLW) equation is solved numerically using the finite difference method. Fourier stability analysis of the linearized scheme shows that it is a marginally stable. Also, the local truncation error of the method is investigated. Three invariants of motion are evaluated to determine the conservation properties of the problem, and the numerical scheme leads to accurate and efficient results. Moreover, interaction of two and three solitary waves is shown. The development of the Maxwellian initial condition into solitary waves is also shown and we show that the number of solitons which are generated from the Maxwellian initial condition can be determined. Numerical results show also that a tail of small amplitude appears after the interactions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 189, Issue 1, 1 June 2007, Pages 346-354
Journal: Applied Mathematics and Computation - Volume 189, Issue 1, 1 June 2007, Pages 346-354
نویسندگان
A.K. Khalifa, K.R. Raslan, H.M. Alzubaidi,