学术
摘 要:
应用Jacobi椭圆函数展开法求解广义五阶KdV方程,结果得到方程的新的精确周期波解.并用在Jacobi椭圆函数展开法中包含的双曲函数正切法同时得到方程的孤波解,使得得到的解可以广泛的应用于诸如物理等其他科研领域.[著者文摘]
关 键 词:
文章出处:
《西南民族大学学报：自然科学版》-2007年33卷3期 -464-468页
分 类 号:
文献标识码:
A
文章编号:
1003-2843（2007）03-0464-05
New periodic and solitary solution for the generalized fifth KdV equation
ZHAO Xiao-shan, XU Wei （ Department of Applied Mathematics, Northwestern Polytechnical University, Xi＇an 710072, P. R. C. ）
Abstract:
In this paper, an extended Jacobi elliptic function expansion method is used with a computerized symbolic computation tbr constructing the exact periodic solution of the generalized fifth KdV equation. As a result, new periodic and solitary wave solutions are obtained. The method is straighttbrward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.[著者文摘]
Key words:
Jacobi elliptic function expansion method： generalized fifth KdV equation; periodic solution; solitary solution
基金资助:
国家自然科学基金（编号：10472091,10332030）,陕西省自然科学基金（编号：2003A03）.
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