English

Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

solv-int 2009-10-31 v1 Exactly Solvable and Integrable Systems

Abstract

Integrable systems in low dimensions, constructed through the symmetry reduction method, are studied using phase portrait and variable separation techniques. In particular, invariant quantities and explicit periodic solutions are determined. Widely applied models in Physics are shown to appear as particular cases of the method.

Keywords

Cite

@article{arxiv.solv-int/9810010,
  title  = {Pseudo-orthogonal groups and integrable dynamical systems in two dimensions},
  author = {J. A. Calzada and M. A. del Olmo and M. A. Rodriguez},
  journal= {arXiv preprint arXiv:solv-int/9810010},
  year   = {2009}
}

Comments

32 pages,revtex