排序方式: 共有48条查询结果,搜索用时 15 毫秒
11.
斜压Rossby波稳定性的线性与非线性问题 总被引:2,自引:0,他引:2
本文从描写非线性斜压Rossby波的准地转两层模式的方程组出发,利用分岔(bifurcation)理论,建立了斜压Rossby波稳定性的简单模型,找到了它的控制参数,并对经典的斜压Rossby波的稳定性的某些结论作出评价。 相似文献
13.
Using the truncated-spectrum model of Burger's-Chao Jiping equation, in which thetemperature advection is involved, we investigated the role of three parameters (Ri number, Renumber, Pr number) in occurrence of turbulence. It is shown that the turbulence may oc-cur only in the case of Ri<0.25 and Rc>2π~2. If Pr is too small (Pr = 0.7 for the atmos-phere), then the turbulence may occur only in the case of introducing interaction betweenbasic field and perturbation field or adding "viscosity" to the model. It is emphasized thatthe temperature advection plays an important role in turbulence occurrence. On the parame-ter plane (Ri, Re), the atmospheric motion states can be divided into the O-region (basicstate), the P-region (periodic state), the T-region (chaotic state), and the T-P region (cha-otic-periodic transition state). In fact, this is appropriate. Finally, the physical reason of turbu-lence occurrence is discussed. 相似文献
14.
15.
利用小扰动方法对非线性演化方程作展开得到原始方程的各级近似方程.应用Jacobi椭圆函 数展开法求得了零级近似方程的准确解,并由此得到一级近似方程和二级近似方程分别满足 齐次Lam方程和非齐次Lam方程,应用Lam函数和Jacobi椭圆函数展开法可以分别求得一级近似方程和二级近似方程的准确解.这样,就求得了非线性演化方程的多级准确解.
关键词:
Jacobi椭圆函数
Lam函数
多级准确解
非线性演化方程
扰动方法 相似文献
16.
17.
18.
In this paper, beginning with the shallow-water equations describing the geophysical fluid motion and by a method expanding the nonlinear terms in Taylor series near the equilibrium point, we find the analytic solutions of the finite amplitude nonlinear inertio-surface gravity waves and Rossby waves. We point out that (ⅰ) the finite amplitude nonlinear inertio-surface gravity waves and Rossby waves Satisfy all the KdV equations; (ⅱ) the solutions are all the enoidal functions, i. e. the enoidal waves which include the linear waves and form the solitary waves under certain conditions; (ⅲ) the dispersive relation including both the wave number and the amplitude is established; (ⅳ) the rotating transform method is given, and the two-dimensional nonlinear problem can be reduced to the one-dimensional one. 相似文献
19.
20.
Jacobi elliptic function expansion method is extended to construct the exact solutions to another kind of KdV equations, which have variable coefficients or forcing terms. And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition. 相似文献