摘要
讨论一类来自于表面波传播的变系数ＫＰ方程的完全可积性．证明了此类方程通过容许变换化为常系数ＫＰ方程或Ｋｄｖ方程时系数所应满足的条件，此条件即为此类方程完全可积的充分必要条件．
This paper discusses the complete integrability of a class of generalized KP equation with space and time dependent coefficients, which is known to have a physical application in the propagation of surface waves in straits with varying depth and width. It is shown that the constraints which the variable coefficient functions must satisfy for the considered KP equation to pass the Painleve tests for complete integralility are the same in order that the equation may be transformed into either the KP equation or the Kdv equation. These provide necessary and sufficient conditions for the KP equation to be complete integrable.
出处
《西安建筑科技大学学报（自然科学版）》
CSCD
1998年第2期186-188,共3页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
关键词
可积性
容许变换
非线性
偏微分方程
integrability, painleve property, allowed transformation
