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Periodic structures of atmospheric internal gravity wave under the influence of air–sea interaction

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  • Ziliang, Li
  • Gang, Fu
  • Jing, Chen

Abstract

A simple incompressible non-hydrostatic Boussinesq equation with the influence of air–sea interaction is applied to investigate the non-linear internal gravity waves in the atmosphere. By the phase plane analysis method and power series expansion method, we derived the KdV equation and Gardner equation. We obtain various periodic structures for the internal gravity waves with the help of direct integration method and the transformation method based on the projective Riccati equation analysis. It is shown that the air–sea interaction is very important for these periodic structures of the waves.

Suggested Citation

  • Ziliang, Li & Gang, Fu & Jing, Chen, 2009. "Periodic structures of atmospheric internal gravity wave under the influence of air–sea interaction," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 530-537.
  • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:530-537
    DOI: 10.1016/j.chaos.2007.08.002
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    References listed on IDEAS

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    1. Chen, Zhe & Fu, Zuntao & Liu, Shikuo, 2005. "Periodic structures of oceanic Rossby wave under the influence of wind stress," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1467-1473.
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