A Geometrical Approach to Coupled KdV

机译：耦合KDV的几何方法

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摘要

We show how the so called hidden (coupled) hierarchies of the KP hierarchy can be recovered through a reduction process from opportune dynamical systems of mutually commuting equations in an infinite number of variables defined on the singular points of the Sato Grassma-nian. This fact provides a geometrical tool to investigate their properties. The reduction theory of these systems is developed and performed into details in the case of the first significative hidden hierarchies of the KdV equation.

机译：我们展示了如何通过在佐藤草地上定义的奇异点的无限数量中相互通勤方程的相互通勤方程的适当动态系统来恢复所谓的KP层次结构的所谓的隐藏（耦合）层次结构。这一事实提供了一种调查其性质的几何工具。在KDV方程的第一个有意义的隐藏层次的情况下，开发并执行这些系统的减少理论。

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来源
《International Workshop on Nonlinear and Modern Mathematical Physics》|2010年||共30页
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作者
Paolo Casati; Giacomo Galetti;
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中图分类 o411.1-532;
关键词
Soliton equations; Sato Grassmanian;

机译：孤子方程式;佐藤草匠;

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4. A Geometrical Approach to Coupled KdV [C] . Paolo Casati, Giacomo Galetti International Workshop on Nonlinear and Modern Mathematical Physics . 2010

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6. Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations [O] . A. R. Seadawy, K. El-Rashidy -1

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A Geometrical Approach to Coupled KdV

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