中文摘要：

通过引进正则动量，将对称正则长波方程（简称SRLW方程）转化成多辛形式的方程组，它具有多辛守恒律；介绍了空间方向满足周期边界条件的函数的Fourier谱方法；对SRLW方程的多辛方程组在空间方向利用Fourer谱方法，时间方向上应用Euler中点格式离散，得到其多辛Fourier拟谱格式；证明此格式的一些离散守恒律．用此格式模拟了SRLW方程的单个孤立波，还模拟了多个孤立波的追赶、碰撞和分离过程．

英文摘要：

A multisympletic system for the symmetric regularized long wave （SRLW） equation is obtained with canconical momentum. The system satisfies the multisymplectic conservation law. A Fourier pseudo-spectral method which adapts to periodic boundary conditions in space is introduced. An Euler mid-point scheme in time and a Fourier pseudo-spactral method in space are used to the muhisymplectic formulation of the SRLW equation. It makes a multisymplectic Fourier pseudo-spectral scheme. Several discrete conservation laws of this scheme are proved; Numerical experiments are performed to simulate the single soliton solution. The chase, collision and separation of muhi-soliton solutions are simulated.