A Hamiltonian model and soliton phenomenon for a two-mode KdV equation. (English) Zbl 1248.37059
The so-called scaled two-mode KdV (STMKdV) equation is studied. Its Hamiltonian structure and solitary wave interaction are discussed. In Section 2, a general description of the Hamiltonian formalism is presented. In Section 3, the Hamiltonian formalism is applied to the STMKdV equation. After that, numerical results regarding solitary wave interaction are demonstrated.
Reviewer: Alexander Odesskii (Thorold)
MSC:
| 37K05 | Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010) |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
