An integrable multicomponent quad-equation and its Lagrangian formulation
An integrable multicomponent quad-equation and its Lagrangian formulation
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DOI：
10.1007/s11232-012-0138-y
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发表时间：
2012-04
影响因子：
1
通讯作者：
James Atkinson;S. Lobb;F. Nijhoff
中科院分区：
文献类型：
--
作者：
James Atkinson;S. Lobb;F. Nijhoff
我们提出了一个离散系统的第一个成员是晶格修改Korteweg-de弗里斯方程和晶格修改Boussinesq方程的层次。层次中的第N个成员是定义在二维晶格中的基本元格上的N分量系统。该系统是多维一致的，我们得到一个拉格朗日尊重这一特点，即，具有理想的封闭性。
We present a hierarchy of discrete systems whose first members are the lattice modified Korteweg-de Vries equation and the lattice modified Boussinesq equation. The Nth member in the hierarchy is an N-component system defined on an elementary plaquette in the two-dimensional lattice. The system is multidimensionally consistent, and we obtain a Lagrangian that respects this feature, i.e., has the desirable closure property.