Universal geometric condition for the transverse instability of solitary waves

Physical Review Letters

Volumn 84, Issue 12, 2000, Pages 2614-2617

  Bridges, Thomas J ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004500194     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.2614     Document Type: Article

References (23)

1. B. B. Kadomtsev and V. I. Petviashvili, Sov. Phys. Dokl., 15, 539 (1970).
2. V. E. Zakharov, JETP Lett., 22, 172 (1975).
3. E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, Phys. Rep., 142, 104 (1986).
4. L. Ostrovsky and V. Shrira, Sov. Phys. JETP, 44, 738 (1976).
5. V. Shrira, Sov. Phys. JETP, 52, 44 (1980).
6. E. W. Laedke and K. H. Spatschek, Phys. Rev. Lett., 41, 1798 (1978).
7. P. A. E. M. Janssen and J. J. Rasmussen, Phys. Fluids, 26, 1279 (1983).
8. M. A. Allen and G. Rowlands, J. Plasma Phys., 50, 413 (1993).
9. H. Iwasaki, S. Toh, and T. Kawahara, Physica (Amsterdam), 43D, 293 (1990).
10. V. E. Zakharov and E. A. Kuznetsov, Sov. Phys. JETP, 39, 285–286 (1974).
11. K. H. Spatschek, P. K. Shukla, and M. Y. Yu, Phys. Lett., 54A, 419 (1975).
12. K. P. Das and F. Verheest, J. Plasma Phys., 41, 139 (1989).
13. M. A. Allen and G. Rowlands, J. Plasma Phys., 53, 63 (1995).
14. T. J. Bridges, Math. Proc. Camb. Philos. Soc., 121, 147 (1997).
15. T. J. Bridges, Proc. R. Soc. London A, 453, 1365 (1997).
16. T. J. Bridges, Nonlinearity, 11, 467 (1998).
17. T. J. Bridges and G. Derks, Proc. R. Soc. London A, 455, 2427 (1999).
18. T. J. Bridges, Eur. J. Mech. B, Fluids, 18, 493 (1999).
19. T. J. Bridges, (to be published).
20. E. A. Kuznetsov and S. K. Turitsyn, Sov. Phys. JETP, 67, 1583 (1989).
21. N. G. Vakhitov and A. A. Kolokolov, Izv. Vuz. Radiofiz., 16, 1020 (1973).
22. N. G. Vakhitov, A. A. Kolokolov, [Radiophys. Quantum Elec., 16, 783 (1975)].
23. L. Bergé, Phys. Rep., 303, 259 (1998).