A HAMILTONIAN MODEL AND SOLITON PHENOMENON FOR A TWO-MODE KdV EQUATION

摘要

We present a Hamiltonian model for a two-mode KdV equation. By using the theory of functional bivector and prolongation of the vector field, the Hamiltonian operator is formally established. We also perform the numerical simulations on the obtained Hamiltonian system with the aim of investigating its soliton behavior.