摘要
本文对于Korteweg-de Vries方程的纯N-孤立子解,得出了新的证明。并由此推导出:t→±∞时,确实存在N个孤立波。且在t增加的过程中,不同的波经碰撞而不改变其形状。
The paper obtains a new proof on pure N-solitons′solution to KdV equation,and deduces that there really exist N solitary waves when t trends towards infinite. Moreover,the impacted waves do not change in shape with increase of t.
关键词
KDV方程
散射问题
纯N-孤立子
KdV equation
scattering problems
Gel'fand-Levitan equations
pure N-solitons
