Variable-coefficient balancing-act method and variable-coefficient KdV equation from fluid dynamics and plasma physics

European Physical Journal B

Volumn 22, Issue 3, 2001, Pages 351-360

  Tian, Bo ^a   Gao, Yi Tian ^a,b  

^a BEIHANG UNIVERSITY   (China)

^b CCAST WORLD LABORATORY   (China)

Author keywords

05.45.Yv Solitons; 47.20.Ky Nonlinearity (including bifurcation theory); 92.10.Fj Dynamics of the upper ocean

Indexed keywords

EID: 0000123855     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. A. Osborne, Chaos, Solitons & Fractals 5, 2623 (1995).
2. L. Ostrovsky, Yu.A. Stepanyants, Rev. Geophys. 27, 293 (1989).
3. S. Yi et al., Phys. Plasmas 3, 529 (1996).
4. G. Das, J. Sarma, Phys. Plasmas 5, 3918 (1998).
5. G. Das, J. Sarma, Phys. Plasmas 6, 4394 (1999).
6. H. Hong, J. Lee, Phys. Plasmas 6, 3422 (1999).
7. A. Ludu, J. Draayer, Phys. Rev. Lett. 80, 2125 (1998).
8. L. Reatto, D. Galli, Int. J. Mod. Phys. B 13, 607 (1999).
9. D. Chudnovsky, G. Chudnovsky, Proc. Nat. Acad. Sci. USA 96, 2263 (1999).
10. M. Coffey, Phys. Rev. B 54, 1279 (1996).
11. Y.T. Gao, B. Tian, Phys. Plasmas 8, 67 (2001); 8, 3146 (2001).
12. Y.T. Gao, B. Tian, Phys. Plasmas 8, 67 (2001); 8, 3146 (2001).
13. S. Turitsyn, A. Aceves, C. Jones, V. Zharnitsky, Phys. Rev. E 58, R48 (1998).
14. P. Holloway, E. Pelinovsky, T. Talipova, J. Geophys. Res. C 104, 18333 (1999).
15. E. Pelinovsky, T. Talipova, V. Ivanov, Nonlinear Processes Geophys. 2, 80 (1995).
16. P. Holloway, E. Pelinovsky, T. Talipova, B. Barnes, J. Phys. Oceanogr. 27, 871 (1997).
17. T. Talipova, E. Pelinovsky, T. Kouts, Oceanology 38, 33 (1998).
18. J. Gazeau, P. Winternitz, J. Math. Phys. 33, 4087 (1992).
19. L. Abellanas, A. Galindo, Phys. Lett. A 108, 123 (1985).
20. Z. Chen, B. Guo, L. Xiang, J. Math. Phys. 31, 2851 (1990).
21. N. Joshi, Phys. Lett. A 125, 456 (1988).
22. V. Hlavaty, Phys. Lett. A 128, 335 (1987).
23. B. Tian, Z. Naturforsch. A 52, 463 (1997).
24. W. Hong, Y. Jung, Phys. Lett. A 257, 149 (1999).
25. N. Nirmala, M. Vedan, B. Baby, J. Math. Phys. 27, 2640 (1986);
26. 2644 (1986).
27. Y.T. Gao, B. Tian, Acta Mechanica 128, 137 (1998).
28. B. Tian, Appl. Math. Lett. 11, 63 (1998).
29. Y.T. Gao, B. Tian, Z. Naturforsch. A 54, 761 (1999).
30. R. Hirota, in Backlund Transformations, edited by R. Miura, Lecture Notes in Mathematics 515 (Springer-Verlag, New York, 1976).
31. R. Hirota, J. Phys. Soc. Jpn 46, 312 (1979).
32. P. Clarkson, M. Kruskal, J. Math. Phys. 30, 2201 (1989).
33. Y.T. Gao, B. Tian, Int. J. Mod. Phys. C 10, 1303 (1999).
34. Y.T. Gao, B. Tian, Computers Math. Applic. 30, 97 (1995).
35. B. Tian, Y.T. Gao, J. Phys. A 29, 2895 (1996).
36. E. Fan, H. Zhang, Acta Physica Sinica 47, 353 (1998, in Chinese).
37. Sirendaoreji, J. Phys. A 32, 6897 (1999).
38. D. Zwillinger, Handbook of Differential Equations (Academic Press, Boston, 1989).
39. Z. Lu, Equations of Classical and Modern Mathematical Physics (Shanghai Sci.-Tech. Publishing Co., Shanghai, 1991, in Chinese).
40. D. Vvedensky, Partial Differential Equations with Mathematica (Addison-Wesley Publishing Co., New York, 1993).