Axially symmetric soliton solutions in a Skyrme-Faddeev-type model with Gies's extension

作者：Ferreira L A^*; Sawado Nobuyuki; Toda Kouichi

来源：Journal of Physics A-Mathematical and Theoretical, 2010, 43(43): 434014.

DOI：10.1088/1751-8113/43/43/434014

We construct static soliton solutions with non-zero Hopf topological charges to a theory which is the extended Skyrme-Faddeev model with a further quartic term in derivatives. We use an axially symmetric ansatz based on toroidal coordinates, and solve the resulting two coupled nonlinear partial differential equations in two variables by a successive over-relaxation method. We construct numerical solutions with the Hopf charge up to 4. The solutions present an interesting behavior under the changes of a special combination of the coupling constants of the quartic terms.

• 出版日期2010-10-29