An integrable multicomponent quad equation and its Lagrangian formulation

Details An integrable multicomponent quad equation and its Lagrangian formulation An integrable multicomponent quad equation and its Lagrangian formulation

2012-04-25

arxiv.org/abs/1204.5521v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

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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