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arXiv · 1204.5521

An integrable multicomponent quad equation and its Lagrangian formulation

J. Atkinson·S. B. Lobb·F. W. Nijhoff
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Abstract

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 N-th member in the hierarchy is an N-component system defined on an elementary plaquette in the 2-dimensional lattice. The system is multidimensionally consistent and a Lagrangian which respects this feature, i.e., which has the desirable closure property, is obtained.

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J. Atkinson, S. B. Lobb, F. W. Nijhoff. 2012-04-25. An integrable multicomponent quad equation and its Lagrangian formulation. https://doi.org/10.1007/s11232-012-0138-y

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