A Multisymplectic Fourier Pseudo-spectral Scheme for the SRLW Equation and Conservation Laws

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 multisymplectic 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 multi-soliton solutions are simulated.