Some Research On Transient Wave

Introduces the stability analysis in estimating the asymptotic behavior when time is tend to infinite and give the expression in different cases of dispersion, based on this ,give the high-order of the dispersion relationship of the wave,so get more precise surf rise expression.To expand the stability analysis to fifth order and compute and analysis the cases when the beginning phase is cosine functions,three cosine functions and analysis the asymptotic behavior of the the rising of the surf in shallow water and classify of the surf expression according to different situations and so get the surf rise expression in any time and at any place.Discuss the case when the observer travel with some speed the express of the rising of the surf when use the stability analysis and use the result to examine the express in the time of deep water.