Multisymplectic Schemes for the Complex Modified Korteweg-de Vries Equation

AYDIN A., KARASÖZEN B.

International Conference on Numerical Analysis and Applied Mathematics, Psalidi, Yunanistan, 16 - 20 Eylül 2008, cilt.1048, ss.60-61 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1048
  • Basıldığı Şehir: Psalidi
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.60-61
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, the multisymplectic formulation of the CMKdV(complex modified Korteweg-de Vries equation) is derived. Based on the multisymplectic formulation, the eight-point multisymplectic Preissman scheme and a linear-nonlinear multisymplectic splitting scheme are developed. Both methods are compared numerically with respect to the conservation of local and global quantities of the CMKdV equation.