Multi-symplectic method for the coupled Schrodinger-KdV equations

被引：8
|
作者：
Zhang Hong [1 ]
Song Song-He [1 ,2 ]
Zhou Wei-En [1 ]
Chen Xu-Dong [1 ]
机构：
[1] Natl Univ Def Technol, Dept Math & Syst Sci, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] Natl Univ Def Technol, State Key Lab High Performance Comp, Changsha 410073, Hunan, Peoples R China
来源：
CHINESE PHYSICS B | 2014年 / 23卷 / 08期
基金：
中国国家自然科学基金;
关键词：
coupled Schrodinger-KdV equations; multi-symplectic; Fourier pseudospectral method; WAVE SOLUTIONS; SCHEMES;
D O I：
10.1088/1674-1056/23/8/080204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled Schrodinger-KdV equations (CSKE) with periodic boundary conditions. Then we develop a novel multi-symplectic Fourier pseudospectral (MSFP) scheme for the CSKE. In numerical experiments, we compare the MSFP method with the Crank-Nicholson (CN) method. Our results show high accuracy, effectiveness, and good ability of conserving the invariants of the MSFP method.
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页数：7
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