Canonical variables for multiphase solutions of the KP equation
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
The KP equation has a large family of quasiperiodic multiphase solutions. These solutions can be expressed in terms of Riemann-theta functions. In this paper, a finite-dimensional canonical Hamiltonian system depending on a finite number of parameters is given for the description of each such solution. The Hamiltonian systems are completely integrable in the sense of Liouville. In effect, this provides a solution of the initial-value problem for the theta-function solutions. Some consequences of this approach are discussed.
Keywords
Cite
@article{arxiv.solv-int/9811006,
title = {Canonical variables for multiphase solutions of the KP equation},
author = {Bernard Deconinck},
journal= {arXiv preprint arXiv:solv-int/9811006},
year = {2007}
}
Comments
52 papes, 3 figures, uses psfig, latexsym