一族新的孤子方程与AKNS系统的等价关系

The Equivalence Relation Between a New Soliton Equation and the AKNS System

从一个新的2×2谱问题出发,导出了一族(1+1)维孤子方程,并讨论了此谱问题与AKNS系统之间的规范变换、位势之间的广义M iura变换及孤子方程之间满足的等价关系.

Based on a new 2 × 2 spectral problem, an 1 ＋ 1 dimensional soliton hierarchy is presented. Then, the gauge transformation between the spectral problem of theis paper and the AKNS system is discussed. And, the potentials in these spectral problems satisfy the generalized Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.