Multisymplectic Fourier pseudo-spectral scheme for the SRLW equation and conservation laws

Jisuan Wuli/Chinese Journal of Computational Physics

Volumn 23, Issue 1, 2006, Pages 25-31

  Kong, Ling Hua ^a   Zeng, Wen Ping ^b   Liu, Ru Xun ^a   Kong, Ling Jian ^c  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b HUAQIAO UNIVERSITY   (China)

^c Boda Highway Ltd ^*  (China)

Author keywords

Fourier pseudo spectral scheme; Multisymplectic scheme; SRLW equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONSERVATION; FOURIER TRANSFORM INFRARED SPECTROSCOPY; PLASMA WAVES; SOLITONS; TIME VARYING SYSTEMS;

FOURIER PSEUDO-SPECTRAL SCHEME; MULTISYMPLECTIC SCHEME; PERIODIC BOUNDARY CONDITIONS; SYMMETRIC REGULARIZED LONG WAVE (SRLW) EQUATION;

WAVE EQUATIONS;

EID: 33645458829     PISSN: 1001246X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Feng K. On difference schemes and symplectic geometry[A]. Proceeding of the 1984 Beijing symposium on differential geometry and differential equations[C]. Beijing: Science Press, 1985. 42-58.
2. Bridges T J, Reich S. Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity[J]. Physics Letters A, 2001, 284: 184-193.
3. Seyler C E, Fenstermmacler D C. A symmetry regularized long wave equation[J]. Physics Fluids, 1984, 27(1): 4-7.
4. Bridges T J, Reich S. Multi-symplectic spectral discretization for the Zakharov-Kaznetsov and shallow water equation[J]. Physica D, 2001, 491-504.
5. Chen Jing-bo, Qin Mengzhao. Multi-symplectic Fourier pseudo-spectral method for the nonlinear Schrödinger equation[J]. ET on Numerical Analysis, 2001, 193-204.
6. Hong J L, Liu Y. A novel numerical approach to simulating nonlinear Schrödinger equation with variable coefficients[J]. Appl Math Letters, 2002, 16: 759-765.
7. Sun J Q, Gu X Y, Ma Z Q. Multisymplectic difference Schemes for coupled nonlinear Schrödinger system[J]. Chinese Journal of Computational Physics, 2004, 21(4): 321-328.