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


AYDIN A., KARASÖZEN B.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.51, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 51 Konu: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1063/1.3456068
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS

Özet

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. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456068]