摘要
ＫｄＶ方程Ｎ个纯孤子的碰撞由这Ｎ个孤子碰撞后的相移来描述，而位相的移动又依赖于无反射势初值－Ｎ（Ｎ＋１）ｓｅｃｈ２ｘ的散射参量．本文首先解出Ｎ为任意正整数时的散射参量表达式，然后根据逆散射变换（ＩｎｖｅｒｓｅＳｃａｔｔｅｒｉｎｇＴｒａｎｓｆｏｒｍａｔｉｏｎ，简记ＩＳＴ）得到了Ｎ个孤子相移的精确表达式。
The collisions amony the pure N solitons of KdV equation are described by the soliton’s phase shifts, which are dependent on the scattering data of reflectionless potential-N(N+1)sech2x. In the present work the scattering data in the case of arbitray positive integer N of the reflectionless potential parameter are evaluated and the expllicit expressions for the phase shifts are abtained by means of inverse Scattening Transformation.
出处
《晓庄学院自然科学学报》
CAS
1994年第2期43-45,52,共4页
Journal of Natural Science of Hunan Normal University
关键词
非线性方程
孤子碰撞
相移
KDV方程
non-Iinear equations
solitions collision
phase shift expression
