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物理学报 2003
The quasi-wavelet solutions of MKdV equations
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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-