Abstract
Solitary waves have been found in an adiabatic compressible atmosphere which, in ambient state, has winds and temperature gradient, generalizing our earlier results for the isothermal atmosphere. Explicit results are obtained for the special case of linear temperature and linear wind distributions in the undisturbed conditions. An important result of the study is that the number of possible critical speeds of the flow depends crucially on whether the maximum Richardson number (which is variable in the present example) is greater or less than 1/4.
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References
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Seshadri V S 1977 Some analytic approach to nonlinear wave propagation in non-uniform media Ph.D. Thesis, Indian Institute of Science, Bangalore
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Sachdev, P.L., Seshadri, V.S. Long waves in inviscid compressible atmosphere II. Proc. Indian Acad. Sci. (Math. Sci.) 91, 39–51 (1982). https://doi.org/10.1007/BF02837259
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DOI: https://doi.org/10.1007/BF02837259