Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation

By Tingting Liu, M. Qin. 2000

135 citations recorded by the source corpus.

The multisymplectic structure of the KdV equation is presented directly from the variational principle. From the numerical view point, we give a multisymplectic twelve-points scheme which is equivalent to the multisymplectic Preissmann scheme. Finally, we test the twelve-points scheme on solitary waves over long time intervals.

Subfields: Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1c41a5b418d8942e17480c832a052c82f66818e1

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In Numerical Analysis

1. Uri M. Ascher
2. Robert I. McLachlan
3. Eldad Haber
4. Lars Ruthotto

In Statistical and Nonlinear Physics

1. Robert I. McLachlan
2. Uri M. Ascher

Citations in the corpus

• Multisymplectic box schemes and the Korteweg{de Vries equation (2004, methodology): “For the latter method, proposed by Preissmann [16] and developed mathematically by Zhao and Qin [19], we develop a simpler version.”