论文标题
PainlevéIV和II方程的合并，变形和Bäcklund对称性
Coalescence, Deformation and Bäcklund Symmetries of Painlevé IV and II Equations
论文作者
论文摘要
我们通过将二次术语添加到其哈密顿式中，从而扩展了PainlevéIV模型，从而获得了两类模型（合并和变形），以在PainlevéIIV和II方程之间插值，以进行基础参数的特殊限制。我们得出了基本的Bäcklund变换，对称结构和要求满足Painlevé财产的要求。
We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying parameters. We derive the underlying Bäcklund transformations, symmetry structure and requirements to satisfy Painlevé property.
