Weakly nonlinear internal wave fronts trapped in contractions
Weakly nonlinear internal wave fronts trapped in contractions
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DOI：
10.1017/s0022112000008715
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发表时间：
2000-07
影响因子：
3.7
通讯作者：
S. Clarke;R. Grimshaw
中科院分区：
文献类型：
--
作者：
S. Clarke;R. Grimshaw
弱非线性的，长的内部波前在收缩的传播被认为是在跨临界极限作为建立虚拟控制的模型。有人认为，适当的方程来描述这个过程是一个变系数Korteweg-de弗里斯方程。这个方程的解决方案，然后被认为是压缩和稀疏战线。稀疏前沿表现出正常和虚拟控制解决方案。然而，压缩锋与收缩的相互作用本质上是不稳定的。这里的动力学有两种形式，一种是与大部分锋面的相互作用，另一种是与个别孤立波的相互作用，孤立波是从收缩下游的锋面分离出来的。
The propagation of weakly nonlinear, long internal wave fronts in a contraction is considered in the transcritical limit as a model for the establishment of virtual controls. It is argued that the appropriate equation to describe this process is a variable coefficient Korteweg–de Vries equation. The solutions of this equation are then considered for compressive and rarefaction fronts. Rarefaction fronts exhibit both normal and virtual control solutions. However, the interaction of compressive fronts with contractions is intrinsically unsteady. Here the dynamics take two forms, interactions with the bulk of the front and interactions with individual solitary waves separating off from a front trapped downstream of the contraction.