﻿ 强迫耗散对偶极型阻塞的影响分析

# 强迫耗散对偶极型阻塞的影响分析Analysis of Effect on Forced Dissipation about Nonlinear Ross by Wave Packets

Abstract: The nonlinear Shrӧdinger equation with disturbance term is obtained, by simplifying the positive pressure quasi-geostrophic vorticity equation with dissipative effect through multi-scale trans-formation and perturbation method. On the base of this, topology of nonlinear Shrӧdinger soliton is analyzed. And effect of forced dissipation on the blocking structure is studied by using the direct perturbation theory of solitons. The results show that: 1) Without dissipation, there exit two forms for the stationary Shrӧdinger soliton: the flow field has a soliton-shaped solitary wave when the basic zonal velocity is small and the isolated wavelet amplitude is large enough, which represents a low-index circulation, as well as the flow field is a degenerate central structure when the basic zonal velocity is large and the isolated wavelet amplitude is small, which characterizes the low-index circulation. 2) The dissipative effect has an inhibitory effect on the development of obstruction, which inhibition changes with a negative exponential function of time.

1. 引言

2. 具有强迫耗散准地转模式的Shrӧdinger方程

(1)

(2)

(3)

(4)

(5)

(6)

(7)

3. 具有强迫耗散准地转模式的Shrӧdinger方程

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)

(16)

(17)

(18)

(19)

(20)

(21)

4. 无强迫耗散的阻塞流场

(22)

(23)

(24)

(25)

(26)

(27)

(I)

Figure 1. The blocking flow field of unheated single soliton solution

(II)

Figure 2. The approximate latitudinal flow field of unheated single soliton solution

5. 强迫耗散下Schrӧdinger孤立子的变化情况

(28)

(29)

(30)

(31)

(32)

(33)

(34)

(35)

(36)

(37)

(38)

(39)

6. 强迫耗散对阻塞形势的影响

. (40)

Figure 3. Suppresive effect of forced disspation on soliton wave amplitude

7. 结论与讨论

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