𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximations for KdV equation as a Hamiltonian system

✍ Scribed by Ping Fu Zhao; Meng Zhao Qin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
482 KB
Volume
39
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

KdV equation is one example of infinite-dimensional Hamiltonian systems. In this paper, we consider a Fourier spectral approximation and a collocation approximation for the KdV equation with emphasis on its Hamiltonian nature. In particular, we analyze the relations between the Fourier spectral method and the collocation method and in this manner we naturally show that several conservation laws of the KdV equation can be preserved for the collocation method. (~) 2000 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

A differential-difference equation for a
A differential-difference equation for a KdV-MKdV equation
✍ Thiab R. Taha πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 254 KB

In this paper a differential-difference equation is derived by methods related to the inverse scattering transform (PST), which has as its limiting form the nonlinear partial differential equation ut +~LYKU, +6/3u2u, + ~xxx = 0. It is shown that the differential-difference equations which have as li