A lattice Boltzmann model and simulation of KdV-Burgers equation

Communications in Theoretical Physics

Volumn 42, Issue 2, 2004, Pages 281-284

  Zhang, Chao Ying ^a   Tan, Hui Li ^a   Liu, Mu Ren ^a   Kong, Ling Jiang ^a  

^a GUANGXI NORMAL UNIVERSITY   (China)

Author keywords

KdV Burgers equation; Lattice Boltzmann model; Sock wave solution; Solitary wave solution; Traveling wave solution

Indexed keywords

EID: 4444377230     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/42/2/281     Document Type: Article

References (23)

1. R.S. Johson, Ph.D. Thesis, J. University of London (London) (1969).
2. K.Y. Guan, et al., Science in China A1 (1987) 64.
3. S.D. Liu and S.K. Liu, Science in China A9 (1991) 938.
4. M.J. Ablowitz and P.A. Carkson, Solitons, Nonlinear Evolution Equations and Inverse Scatting, Cambridge University Press, Cambride (1991) p. 200.
5. C.W. Cao, Science in China A33 (1990) 528.
6. M.L. Wang, et al., Phys. Lett. A213 (1996) 279.
7. W. Hereman, P.P. Banerjee, A. Korpel, et al., J. Phys. A: Math. Gen. 19 (1986) 607.
8. G.X. Zhang, Z.B. Li, and Y.S. Duan, Science in China A30 (2000) 1103.
9. S.K. Liu, et al., Acta Phys. Sin. 51 (2002) 10 (in Chinese).
10. H. Chen, S. Chen. and W.H. Matthaeus, Phys. Rev. A45 (1992) 5339.
11. H.P. Fang, Z.F. Lin, and Z.W. Wang, Phys. Rev. E57 (1998) R25.
12. H.P. Fang, R.Z. Wan, and L.W. Fan, Chin. Phys. 9 (2000) 515.
13. H.P. Fang, Z.W. Wang, Z.F. Lin, and M.R. Liu, Phys. Rev. E65 (2002) 051603.
14. R.Z. Wan, H.P. Fang, Z.F. Lin, and S.Y. Chen, Phys. Rev. E68 (2003) 011401.
15. S. Ponce Dawson, S. Chen, and G.D. Doolen, J. Chem. Phys. 98 (1993) 1514.
16. G.W. Yan and M. Song, Chin. Phys. Lett. 16 (1999) 109.
17. G.W. Yan, Acta Mechanica Sin. A31 (1999) 143 (in Chinese).
18. H.B. Li, et al., Acta Phys. Sin. 50 (2001) 837 (in Chinese).
19. Y.H. Qian, et al., Europhys Lett. 17 (1992) 479.
20. Z.N. Zhu, Acta Phys. Sin. 45 (1996) 1087 (in Chinese).
21. K.P. Lu, et al., Acta Phys. Sin. 50 (2001) 2074 (in Chinese).
22. G.P. Guo and J.F. Zhang, Acta Phys. Sin. 51 (2002) 1159 (in Chinese).
23. S.K. Liu and S.D. Liu, Nonlinear Equations in Physics, Peking University Press, Beijing (2001) p. 201.