信息技术与信息化
信息技術與信息化
신식기술여신식화
Information Technology & Informatization
2015年
6期
154-156
,共3页
KdV方程%孤子波%孤子波解%守恒定律%守恒量
KdV方程%孤子波%孤子波解%守恆定律%守恆量
KdV방정%고자파%고자파해%수항정률%수항량
The KdV Equation%Soliton Solitary wave solution%Conservation Law%Conservation Quantity
本文首先介绍了KdV方程的背景,给出了KdV方程的孤子解和KdV方程中守恒定律无穷性的简要证明.其次,给出了利用守恒量估计孤波参数的方法,该方法克服了逆散射方法的局限性.最后,用实例分析比较了KdV方程初值问题的数值解和估值,表明此种估计方法是准确的.
本文首先介紹瞭KdV方程的揹景,給齣瞭KdV方程的孤子解和KdV方程中守恆定律無窮性的簡要證明.其次,給齣瞭利用守恆量估計孤波參數的方法,該方法剋服瞭逆散射方法的跼限性.最後,用實例分析比較瞭KdV方程初值問題的數值解和估值,錶明此種估計方法是準確的.
본문수선개소료KdV방정적배경,급출료KdV방정적고자해화KdV방정중수항정률무궁성적간요증명.기차,급출료이용수항량고계고파삼수적방법,해방법극복료역산사방법적국한성.최후,용실례분석비교료KdV방정초치문제적수치해화고치,표명차충고계방법시준학적.
In this article, the background of the KdV Equation will be introduced first, the solitary wave solution to the KdV equation and the proof of the infinity of conservation laws will be presented. Then, how parameters of solitons can be found approximately using conservation laws will be discussed. This method overcome the limitation from the inverse scattering method. Finally, in one case, we compare the analytical estimates with numerical results.
