Interaction of free Rossby waves with semi-transparent equatorial waveguide. Part 1. Wave triads

Physica D: Nonlinear Phenomena

Volumn 226, Issue 1, 2007, Pages 55-79

  Reznik, G M ^a,b   Zeitlin, V ^b  

^a SHIRSHOV INSTITUTE OF OCEANOLOGY   (Russian Federation)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Equatorial dynamics; Nonlinear wave interactions; Parametric resonance; Rossby waves; Semi transparent waveguide

Indexed keywords

WATER WAVES; WAVE EFFECTS; WAVEGUIDES;

EQUATORIAL DYNAMICS; NONLINEAR WAVE INTERACTIONS; ROSSBY WAVES; SEMI-TRANSPARENT WAVEGUIDE;

WAVE PROPAGATION;

EID: 33846037177     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.11.003     Document Type: Article

References (21)

1. Gill A.E. Atmosphere-Ocean Dynamics (1982), AP
2. Holton J.R. An Introduction to Dynamic Meteorology (1992), AP
3. Delcroix T., Picaut J., and Eldin G. Equatorial Kelvin and Rossby waves evidenced in the Pacific Ocean through geosat sea-level and surface current anomalies. J. Geophys. Res. 96 (1991) 3249
4. Boulanger J.-P., and Menkes C. Propagation and reflection of long equatorial waves in the Pacific Ocean during the 1992-1993 El Nino. J. Geophys. Res. 100 (1995) 25041
5. Hendon H., and Salby M. The life-cycle of the Madden-Julian oscillation. J. Atmospheric Sci. 51 (1994) 2225-2237
6. Benilov E.S., and Reznik G.M. The complete classification of large-amplitude geostrophic flows in a two-layer fluid. Geophys. Astrophys. Fluid Dyn. 82 (1996) 1-22
7. Wang B., and Xie X. Low-frequency equatorial waves in vertically sheared zonal flow. Part I: Stable waves. J. Atmospheric Sci. 53 (1996) 449-467
8. Majda A., and Biello J.A. The nonlinear interaction of barotropic and equatorial baroclinic Rossby waves. J. Atmospheric Sci. 60 (2003) 1809-1821
9. Zeitlin V. Introduction: Fundamentals of rotating shallow water model in the geophysical fluid dynamics perspective. In: Zeitlin V. (Ed). Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances (2007), Elsevier
10. Neelin J.D., and Zeng N. A quasi-equilibrium tropical circulation model - Formulation. J. Atmospheric Sci. 57 (2000) 1741-1766
11. Le Sommer J., Reznik G.M., and Zeitlin V. Nonlinear geostrophic adjustment of long-wave disturbances in the shallow-water model on the equatorial beta-plane. J. Fluid Mech. 515 (2004) 135-170
12. Landau L.D., and Lifshitz E.M. Hydrodynamics (1986), Nauka, Moscow (in Russian)
13. Barashenkov I.V., and Woodford S.R. Complexes of stationary domain walls in the resonantly forced Ginzburg-Landau equation. Phys. Rev. E 71 (2005) 026613
14. Minzoni A.A., and Whitham G.B. On the excitation of edge waves on beaches. J. Fluid Mech. 79 (1977) 273-287
15. Reznik G.M., and Zeitlin V. Resonant excitation of Rossby waves in the equatorial waveguide and their nonlinear evolution. Phys. Rev. Lett. 96 3 (2006) 034502
16. Coullet P., and Emilsson K. Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects. Physica D 61 (1992) 119-131
17. Barashenkov I.V., Woodford S.R., and Zemlyanaya E.V. Parametrically driven dark solitons. Phys. Rev. Lett. 90 (2003) 054103
18. Yochelis A., Elphic C., Hagberg A., and Meron E. Two-phase resonant patterns in forced oscillatory systems: Boundaries, mechanisms and forms. Physica D 199 (2004) 201-222
19. Martel C., Vega J.M., and Knobloch E. Dynamics of counterpropagating waves in parametrically driven systems: Dispersion vs advection. Physica D 174 (2003) 198-217
20. Akylas T.R. Large-scale modulations of edge waves. J. Fluid Mech. 132 (1983) 197-208
21. Boyd J.P. Equatorial solitary waves. Part 2. Envelope solitons. J. Phys. Oceanogr. 10 (1983) 1699-1717