Structures of Equatorial Envelope Rossby Wave Under a Generalized External Forcing

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Structures of Equatorial Envelope Rossby Wave Under a Generalized External Forcing

FU Zun-Tao,^1,2 LIU Shi-Da,^1,2 and LIU Shi-Kuo¹

¹ School of Physics, Laboratory for Severe Storm and Flood Disaster, Peking University, Beijing 100871, China
² State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China

Received: 2004-01-05 Revised: 1900-01-01 Published: 2004-10-15

Abstract

Abstract: The cubic nonlinear Schrodinger (NLS for short) equation with a generalized external heating source is derived for large amplitude equatorial envelope Rossby wave in a shear flow. And then various periodic structures for these equatorial envelope Rossby waves are obtained with the help of a new transformation, Jacobi elliptic functions, and elliptic equation. It is shown that different types of resonant phase-locked diabatic heating play different roles in structures of equatorial envelope Rossby wave.

Key words: NLS, periodic structure, diabatic heating, Jacobi elliptic function

PACS numbers:

03.65.Ge

FU Zun-Tao,, LIU Shi-Da,, and LIU Shi-Kuo, Commun. Theor. Phys. 42 (2004) 509.

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Structures of Equatorial Envelope Rossby Wave Under a Generalized External Forcing

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