论文标题

与打开A型和D dubrovin-frobenius歧管的扩展相关的集成系统

Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds

论文作者

Basalaev, Alexey

论文摘要

我们研究了打开WDVV方程的解决方案,该方程与A型和D型dubrovin-frobenius歧管相关。我们表明,这些解决方案满足了某些稳定条件,并与两个通勤PDE的系统相关。在A型中,我们显示的PDE系统构建的系统与以Fay形式编写的无分散修饰的KP层次结构相吻合。

We investigate the solutions to open WDVV equation, associated to type A and D Dubrovin-Frobenius manifolds. We show that these solutions satisfy some stabilization condition and associate to both of them the systems of commuting PDEs. In the type A we show that the system of PDEs constructed coincides with the dispersionless modifiled KP hierarchy written in the Fay form.

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