New Explicit Multisymplectic Scheme for the Complex Modified Korteweg-de Vries Equation

We propose an explicit multisymplectic Fourier pseudospectral scheme for the complex modified Korteweg-de Vries equation. Two test problems, the motion of a single solitary wave and interaction of solitary waves, are simulated. Numerical experiments show that the present scheme not only provides highly accurate numerical solutions, but also displays good performance in preserving the three integral invariants during long-time computation. Especially, the excellent ability to preserve the higher order invariant indicates that the proposed algorithm is robust and reliable.