In the paper,we derive a multi-symplectic Fourier pseudospectral method for Zhiber-Shabat equation.The Zhiber-Shabat equation,which describes many important physical phenomena,has been investigated widely in last seve...In the paper,we derive a multi-symplectic Fourier pseudospectral method for Zhiber-Shabat equation.The Zhiber-Shabat equation,which describes many important physical phenomena,has been investigated widely in last several decades.The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented.The numerical experiments are given,showing that the multi-symplectic Fourier pseudospectral method is an efficient algorithm with excellent long-time numerical behaviors.展开更多
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multi- symplectic formulations for the higher order wa...The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multi- symplectic formulations for the higher order wave equation of KdV type are presented, and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.展开更多
文摘In the paper,we derive a multi-symplectic Fourier pseudospectral method for Zhiber-Shabat equation.The Zhiber-Shabat equation,which describes many important physical phenomena,has been investigated widely in last several decades.The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented.The numerical experiments are given,showing that the multi-symplectic Fourier pseudospectral method is an efficient algorithm with excellent long-time numerical behaviors.
文摘The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades. In this work, multi- symplectic formulations for the higher order wave equation of KdV type are presented, and the local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretization of each formulation is calculated by the multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out, which verify the efficiency of the Fourier pseudospectral method.
