### Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections

- Pages
- 76-79

#### Abstract

The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau — Ginzburg model are calculated.