摘要We investigate the multi-symplectic Euler-box scheme for the nonlinear Schrodinger equation. Two new simple semi-explicit scheme are derived. A composition scheme based on the new derived schemes is also discussed. Some numerical results are reported to illustrate the efficiency of the new schemes.
Abstract：We investigate the multi-symplectic Euler-box scheme for the nonlinear Schrodinger equation. Two new simple semi-explicit scheme are derived. A composition scheme based on the new derived schemes is also discussed. Some numerical results are reported to illustrate the efficiency of the new schemes.
WANG Yu-Shun;LI Qing-Hong; SONG Yong-Zhong. Two New Simple Multi-Symplectic Schemes for the Nonlinear Schrodinger Equation[J]. 中国物理快报, 2008, 25(5): 1538-1540.
WANG Yu-Shun, LI Qing-Hong, SONG Yong-Zhong. Two New Simple Multi-Symplectic Schemes for the Nonlinear Schrodinger Equation. Chin. Phys. Lett., 2008, 25(5): 1538-1540.
[1] Tang Y F, Cao J W, Liu X T and Sun Y C 2007 J. Phys.A: Math. Theor. 40 2425 [2] Liu X S, Qi Y Y, He J F and Ding P Z 2007 Commun.Comput. Phys. 2 1 [3] Bridge T J and Reich S 2001 Phys. Lett. A 284 184 [4] Chen J B 2001 Appl. Math. Comput. 124 371 [5] Hong J L, Liu Y, Munthe-Kaas H and Zanna A 2006 Appl.Numer. Math. 56 814 [6] Moore B and Reich S 2003 Numer. Math. 95 625 [7] Chen J B and Qin M Z 2003 J. Comput. Math. 21647 [8] Wang Y S and Wang B 2005 Appl. Math. Comput. 166 608 [9] Yashida H 1990 Phys. Lett. A 150 262 [10] Qin M Z and Zhu W J 1992 Computing 17 309 [11] Hairer E, Lubich C and Wanner G 2002 GeometricNumerical Integration, Structure-Preserving Algorithms forOrdinary Differential Equations (Berlin: Springer) [12] Chen J B 2005 Appl. Math. Comp. 170 1394
2008, Vol. 25 
