Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

Details Pseudo-orthogonal groups and integrable dynamical systems in two dimensions Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

1998-10-14

arxiv.org/abs/solv-int/9810010v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

32 pages,revtex

Scientific paper

10.1063/1.532768

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.

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