论文标题

Nijenhuis几何学的应用IV:多组分KDV和Camassa-Holm方程

Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations

论文作者

Bolsinov, Alexey V., Konyaev, Andrey Yu., Matveev, Vladimir S.

论文摘要

我们构建了一系列新的多组分集成PDE系统,其中包含特定示例(具有适当选择的参数),许多著名的可集成系统,包括KDV,耦合KDV,Harry Dym,Harry Dym,耦合Harry Dym,Camassa-Holm,MulticeComent camassa-Holm,Kaup-Boussineselineq Systems。该系列还包含没有低组分类似物的集成系统。

We construct a new series of multicomponent integrable PDE systems that contain as particular example (with appropriately chosen parameters) many famous integrable systems including KdV, coupled KdV, Harry Dym, coupled Harry Dym, Camassa-Holm, multicomponent Camassa-Holm, Kaup-Boussinesq systems. The series contains also integrable systems with no low-component analogues.

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