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}
}
  • A. Doikou
  • Published 19 October 2011
  • Mathematics
  • International Journal of Modern Physics A
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… 
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