以多辛Euler—box格式为基础对正则长波(RLW)方程的初边值问题进行了讨论,推导了一个新的显式10点格式.模拟孤立波的数值实验表明,这个新的多辛格式是行之有效的,能很好的反映出RLW方程的非弹性性质.
A new ten-point difference scheme for the intial boundary value problem of the RLW equation is derived based on the multi-symplectic formulation. The numerical experiments on simulating solitary waves are given to show the advantage of the explicit scheme and the inelastic properity of RLW equation.