On Optimal Canonical Variables in the Theory of Ideal Fluid with Free Surface
Pattern Formation and Solitons
2009-11-10 v1 Atmospheric and Oceanic Physics
Computational Physics
Fluid Dynamics
Abstract
Dynamics of ideal fluid with free surface can be effectively solved by perturbing the Hamiltonian in weak nonlinearity limit. However it is shown that perturbation theory, which includes third and fourth order terms in the Hamiltonian, results in the ill-posed equations because of short wavelength instability. To fix that problem we introduce the canonical Hamiltonian transform from original physical variables to new variables for which instability is absent.
Keywords
Cite
@article{arxiv.nlin/0410054,
title = {On Optimal Canonical Variables in the Theory of Ideal Fluid with Free Surface},
author = {Pavel M. Lushnikov and Vladimir E. Zakharov},
journal= {arXiv preprint arXiv:nlin/0410054},
year = {2009}
}
Comments
23 page, 6 figures, submitted to Physica D