Application of the perturbative renormalization group method based on the lie group to pulse dynamics

Progress of Theoretical Physics

Volumn 113, Issue 4, 2005, Pages 687-720

  Kawaguchi, Satoshi ^a  

^a FUTURE UNIVERSITY HAKODATE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22144498083     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.113.687     Document Type: Article

References (36)

1. T. Taniuti, Prog. Theor. Phys. Suppl. No. 55 (1974), 1.
2. A. H. Nayfeh, Perturbation Methods (John Willy and Sons, New York, 1973).
3. N. Goldenfeld, O. Martin and Y. Oono, J. Sci. Comp. 4 (1989), 355.
4. N. Goldenfeld, O. Martin, Y. Oono and F. Liu, Phy. Rev. Lett. 64 (1990), 1361.
5. L.-Y. Chen, N. Goldenfeld and Y. Oono, Phys. Rev. A 44 (1991), 6544.
6. L.-Y. Chen, N. Goldenfeld, Phys. Rev. A 45 (1992), 5572.
7. L.-Y. Chen, N. Goldenfeld, Y. Oono and G. Paquette, Physica A 204 (1994), 111.
8. G. Paquette and Y. Oono, Phys. Rev. E 49 (1994), 2368.
9. L.-Y. Chen, N. Goldenfeld and Y. Oono, Phys. Rev. Lett. 73 (1994), 1311;
10. Phys. Rev. E 54 (1996), 376.
11. S. Sasa, Physica D 108 (1997), 45.
12. T. Maruo, K. Nozaki and A. Yosimori, Prog. Theor. Phys. 101 (1999), 243.
13. T. Kunihiro, Prog. Theor. Phys. 94 (1995), 503.
14. E. C. G. Stueckelberg and A. Petermann, Helv. Phys. Acta 26 (1953), 499.
15. M. Gell-Mann and F. E. Low, Phys. Rev. 95 (1954), 1300.
16. D. V. Shirkov, hep-th/9602024.
17. K. Wilson, Phys. Rev. D 3 (1971), 1818.
18. K. G. Wilson, Phys. Rev. Lett. 28 (1972), 548.
19. K. G. Wilson and J. Kogut, Phys. Rep. 12 (1974), 75.
20. V. Kovalev, V. Pustovalov and D. Shirkov, J. Math. Phys. 39 (1998), 1170.
21. S. Goto, Y. Masutomi and K. Nozaki, Prog. Theor. Phys. 102 (1999), 471.
22. S.-I. Ei, K. Fujii and T. Kunihiro, Ann. of Phys. 280 (2000), 236.
23. S.-I. Ei and T. Ohta, Phys. Rev. E 50 (1994), 4672.
24. T. Ogawa and C. Liu, Physica D 108 (1997), 277.
25. J. Carr and R. L. Pego, Commun. Pure Appl. Math. 42 (1989), 523.
26. K. Krischer and A. Mikhailov, Phys. Rev. Lett. 73 (1994), 3165.
27. S. Kawaguchi and M. Mimura, SIAM J. Appl. Math. 59 (1999), 920.
28. C. Elphick, E. Meron and E. A. Spiegel, Phys. Rev. Lett. 61 (1988), 496.
29. E. Meron, Phys. Rep. 218 (1992), 1.
30. M. Bode, A. W. Liehr, C. P. Schenk and H.-G. Purwins, Physica D 161 (2002), 45.
31. M. Or-Guil, M. Bode, C. P. Schenk and H.-G. Purwins, Phy. Rev. E 57 (1998), 6432.
32. S. Kawaguchi, Doctoral Thesis, Tokyo Univ. (1998).
33. T. Ohta, Physica D 151 (2001), 61.
34. S. Goto and K. Nozaki, J. Phys. Soc. Jpn. 70 (2001), 49.
35. S. Goto and K. Nozaki, Prog. Theor. Phys. 105 (2001), 99.
36. Y. Masutomi and K. Nozaki, Physica D 151 (2001), 44.