# SELECTED TOPICS IN CLASSICAL INTEGRABILITY

@article{Doikou2012SELECTEDTI, title={SELECTED TOPICS IN CLASSICAL INTEGRABILITY}, author={Anastasia Doikou}, journal={International Journal of Modern Physics A}, year={2012}, volume={27}, pages={1230003} }

Basic notions regarding classical integrable systems are reviewed. An algebraic description of the classical integrable models together with the zero curvature condition description is presented. The classical r-matrix approach for discrete and continuum classical integrable models is introduced. Using this framework the associated classical integrals of motion and the corresponding Lax pair are extracted based on algebraic considerations. Our attention is restricted to classical discrete and…

## 3 Citations

### Solitons: Conservation laws and dressing methods

- MathematicsInternational Journal of Modern Physics A
- 2019

We review some of the fundamental notions associated with the theory of solitons. More precisely, we focus on the issue of conservation laws via the existence of the Lax pair and also on methods that…

### Liouville integrable defects: the non-linear Schrödinger paradigm

- Mathematics
- 2011

A bstractA systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrödinger model in the presence of a single…

### Exact solutions of open integrable quantum spin chains

- Physics
- 2014

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called…

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