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

AYDIN A., KARASÖZEN B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.86, sa.5, ss.864-882, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 86 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/00207160701713615
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.864-882
  • Anahtar Kelimeler: coupled nonlinear Schrodinger equation, solitons, dispersion, multi-symplectic methods, BACKWARD ERROR ANALYSIS, HAMILTONIAN PDES, NUMERICAL-METHODS, OPTICAL-FIBERS, EQUATION, COLLISION, SCHEMES, DISCRETIZATIONS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.