摘要
研究了有外界热源作用下的有限振幅超长波，首先利用Ｈａｍｉｌｔｏｎ函数及总能量变化方法讨论了有限振幅周期性和孤立性超长波的存在条件。然后用Ｈａｍｉｌｔｏｎ函数为运动不变量性质与函数逼近法求得波的解析式。同时指出．不考虑热源影响的有限振幅超长波不会产生孤立波解，对水平散度也无约束：但引入热源后，则能产生孤立波解，并且对水平散度有一定约束。
Finite amplitude ultra-long waves tinder the effect of heat source are studied.Theconditions for the existence of finite amplitude periodicity and solitaryperiodicity ultra-longwaves are obtained based oi1 the Hamilton 's function and total energy variation.followed bythe wave analytical solution found by use of Hamilton function for motion invariance andfunction approximation.It is noted that there is no solitary wave:solution for these ultra-long waves nor constraints of horizontal divergence without the effect of heat source and vice ver- a.
出处
《南京气象学院学报》
CSCD
1994年第1期20-26,共7页
Journal of Nanjing Institute of Meteorology
基金
"八.五"长期天气预报理论与方法的研究"项目
