MKdV方程的拟小波解  

The quasi-wavelet solutions of MKdV equations

作　　者：唐驾时[1] 刘铸永[1] 李学平[2] 

机构地区：[1]湖南大学工程力学系,长沙410082 [2]中南大学土建学院,长沙410075

出　　处：《物理学报》2003年第3期522-525,共4页Acta Physica Sinica

基　　金：湖南省自然科学基金 (批准号 :0 1JJY2 0 0 7)资助的课题~~

摘　　要：用拟小波方法求MKdV方程的数值解 .先用拟小波离散格式离散空间导数 ,然后用四阶Runge Kutta方法离散时间导数 ,对一个有精确解的实例 ut +6u2 ux +uxxx =0进行了数值计算 .拟小波解与解析解完全重合 ,t=10 0 0 0s时 ,二者也没有偏差 .The quasi-wavelet method is used for obtaining the numerical solution of the MKdV equation. The quasi-wavelet discrete scheme is adopted to make the spatial derivatives discrete, while the fourth-order Runge-Kutta method is adopted to make the temporal derivative discrete. One of the MKdV equation u(t) + 6 u(2)u(x) + u(xxx) = 0, which has an analytical solution, is solved numerically. The numerical results are well consistent with the analytical solutions, even at t = 10000s.

关 键 词：拟小波解 MKDV方程 拟小波方法 孤子解 非线性偏微分方程 非线性物理学 解析解 数值解 

分 类 号：O175[理学—数学]