Multi-symplectic integration of coupled non-linear Schrodinger system with soliton solutions


AYDIN A., KARASÖZEN B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.86, ss.864-882, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 86 Konu: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/00207160701713615
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Sayfa Sayıları: ss.864-882

Özet

Systems of coupled non-linear Schrodinger equations with soliton solutions are integrated using the six-point scheme which is equivalent to the multi-symplectic Preissman scheme. The numerical dispersion relations are studied for the linearized equation. Numerical results for elastic and inelastic soliton collisions are presented. Numerical experiments confirm the excellent conservation of energy, momentum and norm in long-term computations and their relations to the qualitative behaviour of the soliton solutions.