Hénon–Heiles potential as a bridge between nontopological solitons of different types

• We study exact analytic solution for nontopological soliton.
• The classical equation of motion corresponds to Hénon–Heiles system.
• Coleman type solutions are reproduced by the limiting procedure.

We apply the Hubbard–Stratonovich 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.