基于直线法MRLW方程的数值分析与模拟(英文)

Numerical analysis and simulations for MRLW equation based on method of lines

采用直线法求解修正正则长波方程,通过数值研究单孤立波的运动、两个孤立波的相互作用和麦克斯韦初值问题,计算误差范数L2,L∞和三个不变量I1,I2,I3,说明了数值格式的准确性和有效性.

In this paper, method of lines(MOL) is used to solve the modified regularization long wave(MRLW) equation. The motion of single solitary waves, the interaction of two solitary waves and the Maxwellian initial condition problems are numerically studied, and the error norms L2 and L∞ and the three invariants I1, I2, I3 are calculated, which show the accuracy and efficiency of the numerical scheme.