论文标题
一些wadati-konno-ichikawa类型的集成系统及其结构
Some Wadati-Konno-Ichikawa type integrable systems and their constructions
论文作者
论文摘要
标准形式的Wadati-Konno-Ichikawa（WKI）类型可集成的层次结构来自与Lie代数SL（2，R）相关的相应矩阵光谱问题。所得层次结构中的每个方程都有一个由痕量身份提供的双汉米尔顿结构。然后，提出了一些特殊情况的较高分级仿射代数构建。我们还表明，能量的短脉冲方程自然来自负WKI流动。
A standard-form Wadati-Konno-Ichikawa(WKI) type integrable hierarchy is derived from a corresponding matrix spectral problem associated with the Lie algebra sl(2, R). Each equation in the resulting hierarchy has a bi-Hamiltonian structure furnished by the trace identity. Then, the higher grading affine algebraic construction of some special cases is proposed. We also show that eneralized short pulse equation arises naturally from the negative WKI flow.
