INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.86, no.5, pp.864-882, 2009 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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:
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.