Publication: Energy preserving integration of the strongly coupled nonlinear Schrodinger equation
Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 11747-4501 USA
In this paper, average vector field method (AVF) is derived for strongly coupled Schrodinger equation (SCNLS). The SCNLS equation is discretized in space by finite differences and is solved in time by structure preserving AVF method. Numerical results for different paremeter compare with the Lobatto IIIA-IIIB method. The results indicate that AVF method are effective to preserve global energy and momentum.
Strongly coupled nonlinear Schrodinger equation, Hamiltonian system, average vector field methods, Scheme, System