Multisymplectic Geometry and Multisymplectic Preissman Scheme for the KP Equation
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
The multisymplectic structure of the KP equation is obtained directly from the variational principal. Using the covariant De Donder-Weyl Hamilton function theories, we reformulate the KP equation to the multisymplectic form which proposed by Bridges. From the multisymplectic equation, we can derive a multisymplectic numerical scheme of the KP equation which can be simplified to multisymplectic forty-five points scheme.
Keywords
Cite
@article{arxiv.math-ph/0201010,
title = {Multisymplectic Geometry and Multisymplectic Preissman Scheme for the KP Equation},
author = {Tingting Liu and Menzhao Qin},
journal= {arXiv preprint arXiv:math-ph/0201010},
year = {2009}
}
Comments
17 papges, 8 figures