Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 114-125.

• Articles • Previous Articles     Next Articles

On Sonnier-Christov's Difference Scheme for the Nonlinear Coupled Schrodinger System 

WANG Ting-Chun, ZHANG Lu-Ming, CHEN Fang-Qi   

  1. 1.College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;2.Institute of Applied Physics and Computational Mathematics, Beijing 100088
  • Received:2007-12-15 Revised:2009-02-16 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金(10572057)资助.

Abstract:

In this paper, numerical analysis of the Sonnier-Christov's difference scheme for the coupled nonlinear Schrodinger system is given. we prove that the difference scheme is unconditional stable and the second-order convergent in discrete L2-norm. Unique existence of the numerical solution and a iterative algorithm are also discussed in detail. Collision of two solitary waves is also simulated.

CLC Number: 

  • 60M06
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