Spatial chaos in weakly dispersive and viscous media: A nonperturbative theory of the driven KdV-Burgers equation

Physica D: Nonlinear Phenomena

Volumn 95, Issue 1, 1996, Pages 62-80

  Malkov, M A ^a,b  

^a MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^b Space Research Institute ^*  (Russian Federation)

Author keywords

Chaos; Nonlinear waves; Shocks

Indexed keywords

EID: 0041669088     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(96)00043-7     Document Type: Article

References (23)

1. S. Leibovich and A.R. Seebas (Eds.) in: Nonlinear Waves (Cornell University Press, Ithaca, NY, 1974).
2. V.I. Karpman, Nonlinear Waves in Dispersive Media (Nauka, Moscow, 1973) (in Russian).
3. R.Z. Sagdeev, D.A. Usikov and G.M. Zaslavsky, Nonlinear Physics (Harwood, Chur, 1988).
4. G.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
5. A.V. Gurevich and L.P. Pitaevskii, JETP 38 (1974) 291.
6. C.F. Kennel, M.A. Malkov, R.Z. Sagdeev, V.D. Shapiro and A.V. Khrabrov, Sov. Phys. JETP Lett. 48 (1988) 79.
7. M.A. Malkov, C.F. Kennel, C.C. Wu, R. Pellat and V.D. Shapiro, Phys. Fluids B 3 (1991) 1407.
8. A. Rogister, Phys. Fluids 14 (1971) 2733.
9. M.A. Malkov, R.Z. Sagdeev and V.D. Shapiro, Phys. Lett. A 151 (1990) 505.
10. M.A. Malkov, A.D. Kotelnikov and C.F. Kennel, Physica D 86 (1995) 480.
11. T. Taniuti, J. Phys. Soc. Japan 56 (1986) 1286.
12. H. Moriguchi, K. Nozaki and T. Taniuti, J. Phys. Soc. Japan 57 (1988) 470.
13. E.N. Lorenz, J. Atmospheric sci. 20 (1963) 130.
14. T. Hada, C.F. Kennel, B. Buti and E. Mjolhus, Phys. Fluids B 2 (1990) 2581.
15. G.B. Whitham, Proc. Roy. Soc. London A 283 (1965) 238.
16. M.V. Fedorjuk, Asymptotic Methods for Linear Differential Equations (Nauka, Moscow, 1983) (in Russian).
17. M.J. Feigenbaum, J. Statist Phys. 19 (1978) 25.
18. Y. Pomeau and P. Maneville, Comm. Math. Phys. 74 (1980) 189.
19. J.D. Farmer, E. Ott and A. Yorke, Physica D 7 (1983) 153.
20. H. Kantz and P. Grassberger, Physica D 17 (1985) 75.
21. S. Aubry and P.Y. Le Daeron, Physica D 8 (1983) 381.
22. R.L. Devaney, An Introduction to Chaotic Dynamical Systems (Adison-Wesley, Reading, MA, 1989).
23. J.L. McCauley, Chaos, Dynamics, and Fractals (Cambridge University Press, Cambridge, 1993).