Envelope solitary Rossby waves and modulational instabilities of uniform Rossby wave trains in two space dimensions

Wave Motion

Volumn 24, Issue 3, 1996, Pages 315-325

  Dehai, Luo ^a  

^a DPR Lab   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000240920     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(96)00025-X     Document Type: Article

References (22)

1. R. Long, "Solitary waves in the westerlies", J. Atmos. Sci. 21, 197-200 (1964).
2. D.J. Benney, "Long nonlinear waves in fluid flows", J. Math. Phy. 45, 42-63 (1966).
3. L. Redekopp, "On the theory of solitary Rossby waves", J. Fluid Mech. 82, 725-745 (1977).
4. P. Malguzzi and P. Malanote-Rizzoli, "Nonlinear stationary Rossby waves on noniform zonal winds and atmospheric blocking, part I: The analytical theory", J. Atmos. Sci. 41, 2620-2628 (1984).
5. P. Malguzzi and P. Malanote-Rizzoli, "Coherent structures in a baroclinic atmosphere, part II: A truncated model approach", J. Atmos. Sci. 42, 2463-2477 (1985).
6. D.J. Benney, "Large amplitude Rossby waves", Stud. App. Math. 60, 1-10 (1979).
7. G.E. Swaters, "Barotropic modon propagation over slowly varing topography", Geophys. Astrophys. Fluid Dyn. 36, 85-113 (1986).
8. T. Yamagata, "The stability, modulation and long wave resonance of a planetary wave in a rotating, two-layer fluid on a channel beta plane", J. Meteor. Soc. Japan. 58, 160-171 (1980).
9. J. Pedlosky, Geophysical Fluid Dynamics, Springer, New York (1979).
10. V.E. Zakharov, "Stability of periodic waves of finite amplitude on the surface of a deep fluid", J. Appl. Mech. Tech. Phys. 2, 190-194 (1968).
11. D.J. Benney and A.C. Newell, "The propagation of nonlinear wave envelopes", J. Math. and Phys. 46, 133-139 (1967).
12. T. Taniuti, "Reductive perturbation method and far fields of wave equations, part I: General theory", Progr. Theor. Phys. Suppl. 55, 1-34 (1974).
13. H. Hashimoto and H. Ono, "Nonlinear modulation of gravity waves", J. Phys. Soc. Japan. 33, 805-811 (1972).
14. H.C. Yuen and B.M. Lake, "Nonlinear dynamics of deep-water gravity waves", Advances in Appl. Mech. 22, 67-229 (1982).
15. W.H. Hui and J. Hamilton, "Exact solutions of a three-dimensional nonlinear Schrödinger equation applied to gravity waves", J. Fluid Mech. 93, 117-134 (1979).
16. A. Jeffrey and T. Kawahara, Asymptotic methods in nonlinear wave theory, Pitman, London (1982).
17. J.P. Boyd, "Equatorial solitiary waves, part II: Envelope solitons", J. Phys. Oceanogr. 13, 428-449 (1983).
18. A.D.D. Craik, Wave Interactions and Fluid Flows, Cambridge University Press, Cambridge (1985).
19. A. Kochanski, "Cross section of the mean zonal flow and temperature along 80 W", J. Meteor. 12, 95-106 (1955).
20. J. Mcwilliams, "An application of equivalent modons to atmospheric blocking", Dyn. Atmos. Oceans 5, 43-66 (1980).
21. D.H. Luo, "Nonlinear Schrödinger equation in the rotational barotropic atmosphere and atmospheric blocking", Acta Meteoro. Sinica, 587-597 (1991).
22. T.B. Benjamin and J.E. Feir, "The distintegration of wavetrains on deep water, part I: Theory", J. Fluid Mech. 27, 417-430 (1967).