An integrable multicomponent quad equation and its Lagrangian formulation

Autor:	Atkinson, J., Lobb, S. B., Nijhoff, F. W.
Rok vydání:	2012
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1007/s11232-012-0138-y
Popis:	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. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1204.5521 Zobrazit plný text záznamu View this record from Arxiv