LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KLEIN-GORDON-ZAKHAROV EQUATION*

doi:10.1007/s10473-023-0313-2

Abstract

Abstract: In this paper, using the concatenating method, a series of local structure-preserv-ing algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy-preserving and momentum-preserving algorithms have not been studied before. The local structure-preserving algorithms mentioned above are more widely used than the global structure-preserving algorithms, since local preservation algorithms can be preserved in any time and space domains, which overcomes the defect that global preservation algorithms are limited to boundary conditions. In particular, under appropriate boundary conditions, local preservation laws are global preservation laws. Numerical experiments conducted can support the theoretical analysis well.

Key words: Klein-Gordon-Zakharov (KGZ) equation, local preservation law, local momentum-preserving algorithms, multi-symplectic algorithms, local energy-preserving algorithms

Jialing Wang, Zhengting Zhou, Yushun Wang. LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KLEIN-GORDON-ZAKHAROV EQUATION^*[J].Acta mathematica scientia,Series B, 2023, 43(3): 1211-1238.

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LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KLEIN-GORDON-ZAKHAROV EQUATION^*

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