Abstract
In this paper, we using phase plane method have derived the stability criteria of linear and nonlinear Rossby waves under the conditions of semi-geostrophic approximation and have gotten the solutions and geostrophic vorticity of corresponding solitary Rossby waves. It is pointed out that the wave stability is connected with the distri-bution of zonal flow and when the zonal flow is different the solitary wave trough or ridge is formed.
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References
Kuo, H. L. (1949), Dynamic instability of two dimensional nondivergent flow in a barotropic atmosphere,J. Meteor.,6: 105–122.
Liu, S. K. and Liu, S. D. (1986), The linear and nonlinear problem of baroclinic Rossby wave stability,Scientia Sinica B, No. 11, 1055–1062.
Liu, S. K. and Liu, S. D. (1987), Nonlinear waves with semi-geostrophic flow,Acta. Met. Sinica.,45: 257–266.
Long, R. R. (1964), Solitary waves in the westerlies,J. A. S.,2: 197–200.
Lu, W. S. (1987), Linear and nonlinear barotropic instability,Acta. Met. Sinica.,45: 274–281.
Redekopp, L. G. (1977), On the theory of solitary Rossby waves,J. Fluid. Mech.,4: 725–745.
Redekopp, L. G. and P. D. Weidman (1978), Solitary Rossby waves in zonal shear flows and their interaction,J. A. S.,5: 790–804.
Zhen, Q. C. (1979),Mathematical and physical basis of numerical weather prediction, Science Press, Chapter 9 (in Chinese).
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Ping, Z. The effects of zonal flow on nonlinear Rossby waves. Adv. Atmos. Sci. 8, 299–306 (1991). https://doi.org/10.1007/BF02919612
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DOI: https://doi.org/10.1007/BF02919612