Nonlinear Dynamics and Applications

2006, Vol.13, pp.263-269


Laurent series solution of the Skyrme model
Jun Yamashita, Minoru Hirayama

The Painleve property of the hedgehog configuration of the Skyrme model is investigated with the aid of the the Ablowitz-Ramani-Segur algorithm (Painleve test). The field equation seems to pass the Painleve test leaving two free parameters in the solutions of Laurent-series-type. The convergence property of solutions of Laurent-series-type is examined numerically up to 500th order. The series seems to have a finite radius of convergence. The profile function of the model is investigated and static energy of the model is numerically calculated.
Key words: Skyrme model, non-linear sigma model, Painleve test, topological soliton

Full text:  Acrobat PDF  (170KB)