各种扰动源产生孤立子波的研究

本文就四种不同形式的扰动在浅水中生成孤立子波的问题进行了研究。这里采用的理论基础是Boussinesq型非线性色散长波模型。非线性偏微分方程组按初-边值问题用有限差分法数值求解,这里包括对开边界条件的近似处理。 数值计算实例给出了四种不同扰动源生成孤立子波的条件和规律。由对计算结果的分析比较,可以发现当外界与流体间有一定方式的质量、动量或能量(动能、位能)交换时,只要满足一定的条件均能生成孤立子波。

Soliton Generated by Different Disturbances

The solitary waves generated by four kinds of disturbances in shallow water are investigated. The long wave model applied in this paper is of the generalized Boussinesq class. Both the nonlinear and dispersive effects are taken into account in the model. The nonlinear governing equations are solved numerically by a finite-difference method with a simple approximate open-boundary condition as an initial-boundary value problem.A new feature of particular interest is that not only can the accumulation of the increasing mechanical energy generate solitons, but also the additive fluid quantity with some energy can form the solitary waves. These interesting results are illustrated by a series of numerical examples presented.