摘要
通过对KdV方程的Bcklund变换的分析,将其改造成一个Ricatti系统,并求解此系统,以此为基础,利用"不变性求解法"研究KdV方程的一类解的递推公式,从而由KdV方程的一对显然解出发计算出了它的更复杂的精确解.
An analysis of Backlund transformation for the KdV equation is made, and then the KdV equation is transformed into a Ricatti system. And based on the solution to the system, by usingthe＂invariant＇ method＂, a recursive formula of solution to the KdV equation is studied. Accordingly, from a pair of the evident solutions to the KdV equation, its more complex and accurate solutions could be computed.
出处
《嘉兴学院学报》
2011年第6期21-24,共4页
Journal of Jiaxing University
