Marsden J E, Patrick G P, Shkoller S. Multisymplectic geometry, variational integrators and nonlinear PDEs [J]. Communications in Mathematical Physics, 1998.351-395.
[2]
Bridges T J, Reich S. Multi-symplectic integrators:Numerical Schemes for Hamiltonian PDEs that conserve symplecticity [J]. Physics Letters A, 2001, (4-5):184-193.doi:10.1016/S0375-9601(01)00294-8.
[3]
Reich S. Multi-symplectic Runge-Kutta methods for Hamiltonian wave equations [J]. Journal of Computational Physics, 2000(5):473-499.
[4]
Bridges T J. Multi-symplectic structures and wave propagation [J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1997.147-190.doi:10.1017/S0305004196001429.