Towards the Lax formulation of SU (2) principal models with nonconstant metric
نویسنده
چکیده
The equations that define the Lax pairs for generalized principal chiral models can be solved for any constant nondegenerate bilinear form on su(2). The solution is dependent on one free variable that can serve as the spectral parameter. Necessary conditions for the nonconstant metric on SU(2) that define the integrable models are given. 1991 MSC numbers: 35L10, 35L15, 34A55
منابع مشابه
Principal models on a solvable group with nonconstant metric
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. Painlevé analysis of the resulting model is performed and its particular solutions are found 1991 MSC ...
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