双约束孤立子流的可积形变

Integrable Deformations of Binary Constrained Soliton Flows

提出了基于Lax矩阵的构造双约束孤立子流的可积形变的新方法.作为应用,导出了双约束KdV流和双约束mKdV流的可积形变,并给出了这些形变的Lax表示、r-矩阵和守恒积分.

A direct method is presented for constructing integrable deformations of binary constrained soliton flows in the framework of Lax formulation. The integrable deformations of the binary constrained Korteweg de Vries flows and the binary constrained modified Korteweg de Vries flow are computed explicitly, together with their Lax representations, r matrix and conserved integrals.