Multisymplectic box schemes for the complex modified Korteweg-de Vries equation

作者:Aydin A*; Karasozen B
来源:Journal of Mathematical Physics, 2010, 51(8): 083511.
DOI:10.1063/1.3456068

摘要

In this paper, two multisymplectic integrators, an eight-point Preissman box scheme and a narrow box scheme, are considered for numerical integration of the complex modified Korteweg-de Vries equation. Energy and momentum preservation of both schemes and their dispersive properties are investigated. The performance of both methods is demonstrated through numerical tests on several solitary wave solutions.

  • 出版日期2010-8