Propagation of Envelope Solitons in Baroclinic Atmosphere

The propagation of finite amplitude baroclinic wave packets in the two-layer model is investigated by using the multiple-scale method. It is shown that the propagation of the wave packets can be described by the so-called unstable nonlinear Schrodinger equation which possesses envelope soliton solutions. The speeds of the solitons are in-dependent of their amplitudes, while the width of the solitons is directly proportional to their speeds but inversely pro-portional to their amplitudes.