The quasi-wavelet solutions of MKdV equations
Tang Jia-Shi, Zhuyong Liu, Xueping Li, (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 · Acta Physica Sinica · 2003
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-