驱动非线性浅水波的行波特征研究

采用带有外界强迫效应的浅水动力学模式研究非线性波动、获得了依赖于外界输入形式的驱动水波的行波解。研究结果表明，驱动水波仍具有非线性波动的一般性质，而当外界强迫波速与水波固有速度一致时，水波出现共振效应，并且外界强迫孤立子将导致驱动水波孤立子产生。

TRAVELING WAVE CHARACTERISTIC STUDY OF DRIVEN NONLINEAR SHALLOW WATER WAVE

Adopting a shallow water dynthecal model with extemal foreing effects to study nonlinear water waves, a tweling wave solution of driven warer wave depending on extemal input form has been found. The results demonstiate tha if the extemal wave speed is larger than the internal one of water waves, then phase tardiness for driven water wave will happen; if the two approach similarity, the resonance effect will occur. Analogous to Stokes, cnoidal waves and so on,then the driven water wave still maintalns its nonlinear properties with regard to wave crest steepness,wave trough flatness and expansion of double frequency waves. If the extemal foree is a soliop wave, then the driven water wave also has the form of a solitary wave. In particular if the extemal wave speed is larger than the intemal one of the water wave, and the input is compression doliton,then output is expansion soliton; in the same way, if the input is expansion soliton, then output is compression soliton.