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Numerical Approximation for a Coupled Schrodinger System
WANG Tingchun, ZHANG Luming, CHEN Fangqi
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2008, 25 (2):
179-185.
A linear difference scheme which is not coupled for a coupled nonlinear Schrodinger system is proposed. It is shown that the scheme reserves conservation of the original system. It is demonstrated with a discrete energy method that the scheme is unconditionally stable and convergent by second-order L2 in norm on basis of some priori estimates. Collision of two solitary waves is simulated.
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