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Multisymplectic Geometry and Multisymplectic Preissman Scheme for the KP Equation

Tingting Liu·Menzhao Qin
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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.

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Tingting Liu, Menzhao Qin. 2002-01-04. Multisymplectic Geometry and Multisymplectic Preissman Scheme for the KP Equation. https://doi.org/10.1063/1.1487444

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