(2+1)维破裂孤子方程不可积

ON NONINTEGRABLITY THE(2+1)-DIMENSIONAL BREAKING SOLITON EQUATION

本文认为 Radha 和 Lakshmanan 提出的(2+1)维 KdV 方程是不可积的,因为它不具有 Painleve 性质,Lax 对和一般的三平面孤子解。

The(2+1)-dimensional KdV equation proposed by Radha and Lakshmanan is not integrable because it does not possess Painlevé property,Lax pair and generalized three plane soliton solution.