کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630039 | 1340592 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the solutions and conservation laws of a coupled KdV system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the solutions and conservation laws of a coupled KdV system On the solutions and conservation laws of a coupled KdV system](/preview/png/4630039.png)
چکیده انگلیسی
In this paper Lie symmetry analysis is performed on the coupled KdV system which describes a resonant interaction of two wave modes in a shallow stratified liquid. The similarity reductions and exact solutions with the aid of simplest equation method and Jacobi elliptic function method are obtained based on the optimal systems of one-dimensional subalgebras for the KdV system. In addition, the conservation laws of the coupled KdV system are also derived using the multiplier (and homotopy) approach and a conservation theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 3, 15 October 2012, Pages 959–969
Journal: Applied Mathematics and Computation - Volume 219, Issue 3, 15 October 2012, Pages 959–969
نویسندگان
Abdullahi Rashid Adem, Chaudry Masood Khalique,