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物理学报  2003 

The quasi-wavelet solutions of MKdV equations
MKdV方程的拟小波解

Keywords: MKdV equation,quasi-wavelet method,soliton solution
MKdV方程,
,拟小波方法,,孤子解

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Abstract:

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 ut+6u2ux+uxxx=0, which has an analytical solution, is solved numerically- The numerical results are well consistent with the analytical solutions, even at t=10000s-

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