Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877690 | Physica D: Nonlinear Phenomena | 2005 | 21 Pages |
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 transformation from original physical variables to new variables for which instability is absent.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Pavel M. Lushnikov, Vladimir E. Zakharov,