共查询到16条相似文献，搜索用时 976 毫秒
1.
对大气非线性惯笥重力内波方程组,利用相平面分析法导出了相应的ＫｄＶ方程。采用直接积分法求出两类有意义的孤立波解,讨论了波解的基本特征,并着重分析了一类奇异孤立波与某些天气系统（如青藏高原５００ｈＰａ低涡）的可能联系。 相似文献
2.
罗德海 《成都信息工程学院学报》1986,(2)
本文利用位涡守恒方程,导出了斜压大气中非线性Rossby波满足KDV方程和MKDV方程,求得了斜压大气中非线性Rossby波足椭园余弦波和孤立波,并对它们的性质进行了讨论,着重用斜压Rossby立波的性质解释了大气中的一些重要天气现象如极涡、阻塞高压和切断低压。 相似文献
3.
对具有任意阶非线性薛定谔方程的行波解进行了研究。给出具有任意阶非线性薛定谔方程的精确解。利用行波变换和辅助函数法把具有任意阶非线性薛定谔方程最终转化为一个非线性常微分方程的解,通过对这个微分方程的研究可以得到具有任意阶非线性薛定谔方程的行波解。具有任意阶非线性薛定谔方程存在的孤立波解、三角孤立波解、扭孤立波解、Jacobi椭圆函数解。得到了具有任意阶非线性薛定谔方程新的Jacobi椭圆函数解。 相似文献
4.
利用动力学分析中的相平面方法,由z坐标系下的非绝热大气运动方程组导出了与非线性惯性重力内波有关的KdV方程,然后利用直接积分法得到两类有天气意义的孤立波解.初步建立了孤立波解与高原低涡的联系,进一步从理论上论证了高原低涡具有与热带气旋类低涡类似的涡眼和暖心结构的特征. 相似文献
5.
《成都信息工程学院学报》1986,(1)
1895年,Korteweg和de Vries在研究洪水波演进(evolution)问题题中推导出了著名的半线性方程,即目前,一般所称作的KdV-方程。它是近代物理学中三个著名的半线性方程之一。此方程中含有非线性项及色散项,尤其是方程的解含有非线性波的孤立波或称孤立子(soliton)而受到广泛的重视。本文是针对小尺度运动略去Coriolis力,引入ρ=ρ_0(?)常数(均匀大气)的假定,将x(或)y方向的水平运动方程及垂直运动方程的未知函数视为解析幽数,故可在ζ=0附近怍Taylor级数展开,以迭套消元的方 相似文献
6.
罗德海 《成都信息工程学院学报》1993,(4)
本文在基本气流具有水平切变的情况下,利用摄动法导出了非线性Rossby波所满足的三阶Zakharov方程,然后,考虑了基流具有弱切变的情况,通过使用三阶Zakharov方程研究了Rossby波列的第一类不稳定性问题。结果表明:通过非线性作用,大气中的Rossby波列可产生调制不稳定。同时,本文对这种不稳定的区域,增长率和周期进行了详细的计算,并讨论了波振幅、波数、纬度和基流切变对它们的影响,指出Rossby波列的调制不稳定可以激发30～60天的低频振荡。 相似文献
7.
罗德海 《成都信息工程学院学报》1991,(2)
本文研究了纬向基本气流具有弱切变而不是缓变的情况下的正压非线性Rossby波包,在仅考虑纬向波数k是tx的缓变函数时,可以得到一个描述非线性Rossby波包的推广的非线性Schrodinger方程,并指出,(1)当纬向波数k是t,x的一次缓变(即Z,X的函数)时,非线性Rossby波的波作用密度和能量密度是守恒的。(2)而当纬向波数k是t,x的二次缓变(即Τ,ξ的函数)时,非线性Rossby波包的波作用密度和能量密度并不是守恒的,而且我们还指出在纬向波数k不变的情况下,其波包振幅就变为典型的非线性Schrodinger方程,其流场具有阻塞结构。 相似文献
8.
本文从大气能量平衡方程和海温变化方程出发,得到海～气耦合的多频振荡系统,分析此多频系统的特殊频率方程得到: 1)当大气视为非定常,海洋视为定常的情况下,得到的波动本质上是非绝热的Rossby波。 2)当大气定常,海洋非定常的情况下,得到两类性质相异的波动;一类是周期为准半年(4～9月)的非绝热慢波,另一类是周期为准两年(2～3年)的非绝热慢波;两类慢波的传播方向完全相反,准两年波比准半年波传播得更慢(两者几乎相差一个量级)。 相似文献
9.
罗德海 《成都信息工程学院学报》1993,(4)
本文通过构造斜压大气运动的原始方程模式和两层模式的Hamilton守恒量及积分不变的Casimir泛函,并使用变分法,得到了斜压大气运动的非线性Lyapunov稳定性判据,这个判据是Arnold-Blumen-Zeng判据的推广。 相似文献
10.
罗德海 《成都信息工程学院学报》1994,(2)
通过引进δ＝Ｈ＿１／Ｈ＿２参数，对两层模式中的正压波和斜压波（考虑了层结作用）的三波共振进行了研究，结果表明：δ叁数对三波共振条件有很大的影响；并进一步讨论了在一定初始振幅的条件下，δ参数和非线性强度对三波共振周期的影响；指出：在一定的初始振佰、δ参戮和非线性强度的条件下，大气中可以形成６０天以上的甚低频振荡及３０～６０天和准两周的低须振荡。 相似文献
11.
Rossby waves with linear topography in barotropic fluids 总被引：1，自引：0，他引：1
Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV （Korteweg-de Vries） equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics. 相似文献
12.
A continuously stratified nonlinear model is set up to study the impact of topographical character on the generation of internal solitary waves over a sill by tidal flow. One of the reasons why almost all of the generated internal solitary waves propagate westward in the northern South China Sea is explained. The model simulations describe the generation and propagation of internal waves well. When the strength of imposed barotropic tides and the water stratification stay unchanged, the steepness of the sill slope can control both (a) whether or not the waves induced over a sill by tidal flow are linear internal waves or nonlinear internal solitary waves, and (b) the amplitude of the internal solitary waves generated. If the steepness of the sill is asymmetric, the nonlinear internal solitary waves may be induced on the steeper side of the sill. These conclusions are supported by a numerical experiment with a monthly-mean stratification and an actual seafloor topography from the Luzon Strait. 相似文献
13.
A distinct type of nonlinear internal-wave packet, with the largest internal solitary wave in the middle of the packet, was
regularly observed in the South China Sea during the Asian Seas International Acoustics Experiment in 2001. Data analysis
shows that the occurrence of the distinct internal wave packet is closely related with the occurrence of lower-high internal
tides; the internal tides are mixed in the experimental area and, thus, there is diurnal inequality between the heights of
two neighboring internal tides. Modeling of internal tides and internal solitary waves in a shoaling situation suggests that
this type of wave packet can be generated in the South China Sea by the large shoaling of internal solitary waves and internal
tides. Both the internal solitary waves and the internal tides come from the direction of Luzon Strait. The initial large
internal solitary waves contribute to the occurrence of the largest internal solitary wave in the middle of the packet and
the waves behind the largest internal solitary wave, while the shoaling internal tides bring about the nonlinear internal
waves in front of the largest internal solitary wave via interaction with the local shelf topography. 相似文献
14.
A nonlinear evolution equation of 2-D short internal waves under condition of weak stratification—cubic Schrödinger equation—is derived by using the reductive perturbation method. Because αβ<0 in the Schrödinger equation, in the linear system the sideband perturbation for the harmonic wave modulation is neutrally stable. At the same time, there is also a sort of wave packet.—KdV envelope soliton. In the nonlinear system the dark soliton is obtained under condition of weak stratification. It is shown that the vertical perturbation of the Brunt-Väìsälä frequency plays a role in forming the KdV envelope soliton and dark soliton. 相似文献
15.
Various aspects of studies on internal tides are reviewed .Both beam-like structure and modal structure of internal tides may exist in the ocean . Bottom intensifications are caused by many factors .e.g. upstream blocking , which is the result of nonlinear interaction among waves . The energy may decay very fast so that internal tides are mostly locally generated .Internal tides may have considerable residual currents.In a 3-D frame, numerical study revealed that internal waves may interfere with each other to cause strong motions fer from the generation sources.The mechanism that determines how the lee waves break to form various nonlinear waves such as solitary waves, hydraulic jumps and internal surges or bores remains unclear. Analytic study is difficult , so numerical method may be effective . A radiation condition on the open boundary must be employed. A complete 3-D model may gain interesting result.Study on internal tides in China is limited to field observations and data analysis . 相似文献
16.
Large amplitude internal solitary waves (ISWs) often exhibit highly nonlinear effects and may contribute significantly to
mixing and energy transporting in the ocean. We observed highly nonlinear ISWs over the continental shelf of the northwestern
South China Sea (19°35′N, 112°E) in May 2005 during the Wenchang Internal Wave Experiment using in-situ time series data from
an array of temperature and salinity sensors, and an acoustic Doppler current profiler (ADCP). We summarized the characteristics
of the ISWs and compared them with those of existing internal wave theories. Particular attention has been paid to characterizing
solitons in terms of the relationship between shape and amplitude-width. Comparison between theoretical prediction and observation
results shows that the high nonlinearity of these waves is better represented by the second-order extended Korteweg-de Vries
(KdV) theory than the first-order KdV model. These results indicate that the northwestern South China Sea (SCS) is rich in
highly nonlinear ISWs that are an indispensable part of the energy budget of the internal waves in the northern South China
Sea. 相似文献