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The elliptically oscillating solutions in the Abelian Higgs-model arepresented and the classical massive-dispersion-relation through the non-lineardynamics is discussed. The generated massive-dispersion-relation including afield value of the scalar field is derived as the consequence of the equationof motions. We discuss the property of the new solutions and its Hamiltoniandensity. In addition, we calculate the electromagnetic property of the system,in particular, we derive the relation between the field value and the electricfield and the electric current-density.

Elliptically oscillating solutions in Abelian-Higgs model and electromagnetic property