Principal models on a solvable group with nonconstant metric

Details Principal models on a solvable group with nonconstant metric Principal models on a solvable group with nonconstant metric

2000-06-12

arxiv.org/abs/nlin/0006016v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, Latex2e, no figures

Scientific paper

10.1016/S0375-9601(00)00615-0

Field equations for generalized principle models with nonconstant metric are
derived and ansatz for their Lax pairs is given. Equations that define the Lax
pairs are solved for the simplest solvable group. The solution is dependent on
one free variable that can serve as the spectral parameter. Painleve analysis
of the resulting model is performed and its particular solutions are found

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