标题： 达布-布克隆德推导皮亚诺四次方程的有理解 显示英文标题

标题： Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation

摘要： 有理解在伪微分Lax形式框架中被构造，该框架描述了AKNS层次结构，并受到额外的非同谱Virasoro对称性约束。通过连续作用Darboux-Backlund变换，获得了有理解的方便Wronskian表示。 显示英文摘要

摘要： Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Backlund transformations.