Baer , F. and Tribbia , J. J . 1977 . On the complete filtering of gravity modes through nonlinear initialization. Mon . Wea. Re v . 105 , 1536 – 1539 .
Bernie , D. J. , Woolnough , S. J. , Slingo , J. M. and Guilyardi , E . 2005 . Modeling diurnal and intraseasonal variability of the ocean mixed layer . J. Climate 18 , 1190 – 1202 .
Biello , J. A. and Majda , A. J . 2004a . Boundary layer dissipation and the nonlinear interaction of equatorial baroclinic and barotropic Rossby waves . Geophys. Astrophys. Fluid Dyn . 98 ( 2 ), 85 – 127 .
Biello , J. A. and Majda , A. J . 2004b . The effect of meridional and vertical shear on the interaction of equatorial baroclinic and barotropic Rossby waves . Stud. AppL Math . 112 , 341 – 390 .
Bretherton , F. P . 1964 . Resonant interactions between waves. The case of discrete oscillations . J. Fluid. Mech . 20 , 457 – 479 .
Chang , C.-P. and Lim , H . 1988 . Kelvin wave-CISK: a possible mechanism for the 30-50 day oscillations?. J. Atmos. Sc i . 45 , 1709 – 1720 .
Charney , J . 1955 . The use of the primitive equations of motion in numerical prediction . Tellus 7 , 22 – 26 .
Craik , A. D. D . 1985 . Wave Interactions and Fluid Flows . Cambridge Monographs on Mechanics and Applied Math. Cambridge University Press , New York , pp. 322 .
Duffy , D. G . 1974 . Resonant interactions of inertiogravity and Rossby waves. J. Atmos. Sc i . , 31 , 1218 – 1231 .
Domaracki , A. and Loesch , A. Z . 1977 . Nonlinear interactions among equatorial waves. J. Atmos. Sc i . 34 , 486 – 498 .
Hayashi , Y . 1970 . A theory of large-scale equatorial waves generated by condensational heat and accelerating the zonal wind . J. Meteor Soc. Japan 48 , 140 – 160 .
Johnson , R. H. , Rickenbach , T. M. , Rutledge , S. A. , Ciesielski , P. E. and Schubert , W. H . 1999 . Trimodal characteristics of tropical convection . J. Climate 12 , 2397 – 2407 .
Kasahara , A . 1982 . Nonlinear normal mode initialization and the bounded derivative method . Rev. Geophys. Space Phys . 20 , 385 – 397 .
Khouider , B. and Majda , A. J . 2006 . A simple multicloud parameterization for convectively coupled tropical waves. Part I: linear analysis. J. Atmos. Sc i . 63 , 1308 – 1323 .
Khouider , B. and Majda , A. J . 2007 . A simple multicloud parameterization for convectively coupled tropical waves. Part H: nonlinear simulations. J. Atmos. Sc i . 64 , 381 – 400 .
Khouider , B. and Majda , A. J . 2008 . Multicloud models for organized tropical convection: enhanced congestus heating. J. Atmos. Sc i . 65 , 895 – 914 .
Lin , X. and Johnson , R. H . 1996 . Kinematic and thermodynamic characteristics of the flow over the western Pacific warm pool during TOGA COARE. J. Atmos. Sc i . 53 , 695 – 715 .
Lindzen , R. S . 1974 . Wave-CISK in the tropics. J. Atmos. Sc i . 31 , 156 – 179 .
Loesch , A. Z. and Deininger , R. C . 1979 . Dynamics of closed systems of resonantly interacting equatorial waves. J. Atmos. Sc i . 36 , 1490 – 1497 .
Majda , A. J. and Biello , J. A . 2003 . The nonlinear interaction of barotropic and equatorial baroclinic Rossby waves. J. Atmos. Sc i . , 60 , 1809 – 1821 .
Majda , A. J. and Embid , P . 1998 . Averaging over fast waves for geophysical flows with unbalanced initial data . Theor. Comput. Fluid Dyn . 11 , 155 – 169 .
Majda , A. J. , Rosales , R. R. , Tabalc , E. G. and Turner , C. V . 1999 . Interaction of large-scale equatorial waves and dispersion of Kelvin waves through topographic resonances. J. Atmos. Sc i . 56 , 4118 – 4133 .
Majda , A. J. , Stechmann , S. and Khouider , B . 2007 . Madden-Julian oscillation analog and intraseasonal variability in a multicloud model above the equator . PNAS (USA) 104 ( 24 ), 9919 – 9924 .
Mapes , B. E . 2000 . Convective inhibition, subgrid-scale triggering energy, and stratiform instability in a toy tropical wave model . J Atmos. Sc i . 57 , 1515 – 1535 .
Matsuno , T . 1966 . Quasi-geostrophic motions in the equatorial area . J. Meteor Soc. Japan 44 , 25 – 43 .
Medvedev , S. B. and Zeitlin , V . 2005 . Weak turbulence of short equatorial waves . Phys. Lett. A 342 , 217 – 227 .
Milewski , P . 1995 . Resonant interactions between vortical flows and water waves. Part H: shallow water . Stud. AppL Math . 94 , 225 – 256 .
Milewski , P . 1998 . Long wave interaction over varying topography . Physica D 123 , 36 – 47 .
Milewski , P. and D. J. Benney . 1995 . Resonant interactions between vortical flows and water waves. Part I: deep water . Stud. AppL Math . 94 , 131 – 167 .
Phillips , N. A . 1960 . On the problem of initial data for the primitive equations . Tellus 12 , 121 – 126 .
Raupp , C. F. M. and Silva Dias , P. L . 2006 . Dynamics of resonantly interacting equatorial waves . Tellus 58A , 263 – 279 .
Raupp , C. E M. , Silva Dias , P. L. , Tabak , E. G. and Milewski , P . 2008 . Resonant wave interactions in the equatorial wave-guide. J. Atmos. Sc i . 65 , 3398 – 3418 .
Reznilc , G. M. and Zeitlin , V . 2006 . Resonant excitation of Rossby waves in the equatorial waveguide and their nonlinear evolution . Phys. Rev. Lett . 96 , 034502 .
Reznilc , G. M. and Zeitlin , V . 2007 . Interaction of free Rossby waves with semi-transparent equatorial waveguide. Part 1. Wave triads . Physica D 226 , 55 – 79 .
Ripa , P . 1981 . On the theory of nonlinear interactions among geophysical waves . J. Fluid Mech . 103 , 87 – 115 .
Ripa , P . 1982 . Nonlinear wave-wave interactions in a One-Layer Reduced-Gravity Model on the equatorial β-plane . J. Phys. Oceanogr 12 , 97 – 111 .
Ripa , P . 1983a . Weak interactions of equatorial waves in a one-layer model. Part I: general properties . J. Phys. Oceanogr . 13 , 1208 – 121226 .
Ripa , P . 1983b . Weak interactions of equatorial waves in a one-layer model. Part H: applications . J. Phys. Oceanogr 13 , 1227 – 121240 .
Silva Dias , P. L. , Schubert , W. H. and DeMaria , M . 1983 . Large-scale response of the tropical atmosphere to transient convection. J. Atmos. Sc i . 40 , 2689 – 2707 .
Stevens , D. E. and Lindzen , R. S . 1978 . Tropical wave-CISK with a moisture budget and cumulus friction. J. Atmos. Sc i . 35 , 940 – 961 .
Tribbia , J. J . 1979 . Non-linear initialization on an equatorial beta-plane. Mon . Wea. Re v . 107 , 704 – 713 .
Tribbia , J. J . 1984 . A simple scheme for high-order nonlinear normal mode initialization. Mon . Wea. Re v . 112 , 278 – 284 .
Yang , G-Y. and Slingo , J . 2001 . The diurnal cycle in the tropics. Mon . Wea. Re v . 129 , 784 – 801 .