一个三维孤立子方程的Bcklund变换

Bcklund Transformation for a Three Di mensional Soliton Equation

研究了一个三维的孤立子方程的Backlund变换(BT)和非线性叠加公式,证明了文[3,4]中的三维的Backlund变换可以分解成三个二维的Backlund变换,并讨论了一些与N维Liouville方程有关的问题。

The Baecklund transformation （BT） for a three dimensional soliton equation and its nonlinear superposition formula are studied in this paper. We prove that the three dimensional Baecklund transformation obtained in [ 3,4 ] can be decomposed into two dimensional BTs. We also discuss some related topics of the N dimensional Liouville equation.