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


AYDIN A., KARASÖZEN B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.86, no.5, pp.864-882, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86 Issue: 5
  • Publication Date: 2009
  • Doi Number: 10.1080/00207160701713615
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.864-882
  • Keywords: coupled nonlinear Schrodinger equation, solitons, dispersion, multi-symplectic methods, BACKWARD ERROR ANALYSIS, HAMILTONIAN PDES, NUMERICAL-METHODS, OPTICAL-FIBERS, EQUATION, COLLISION, SCHEMES, DISCRETIZATIONS
  • Middle East Technical University Affiliated: Yes

Abstract

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.