Integrable Discretizations of Chiral Models via Deformation of the Differential Calculus

@inproceedings{Dimakis1995IntegrableDO,
  title={Integrable Discretizations of Chiral Models via Deformation of the Differential Calculus},
  author={A. Dimakis and Folkert M{\"u}ller-Hoissen},
  year={1995}
}
A construction of conservation laws for chiral models (generalized σ-models) on a two-dimensional space-time continuum using differential forms is extended in such a way that it also comprises corresponding discrete versions. This is achieved via a deformation of the ordinary differential calculus. In particular, the nonlinear Toda lattice results in this way from the linear (continuum) wave equation. The method is applied to several further examples. We also construct Lax pairs and Bäcklund… CONTINUE READING

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