Henon-Heiles potential as a bridge between nontopological solitons of different types

Abstract

We apply the Hubbard-Stratanovich transformation to the Lagrangian for nontopological solitons of the Coleman type in a two-dimensional theory. The resulted theory with an extra real scalar field can be supplemented with a cubic term to obtain a model with exact analytical solution.

arXiv comment6 pages,2 figures. Revised version accepted for a publication in Commun.Nonlinear Sci.Numer.Simul

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