Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
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.
Leble S. B., Yurov A. V.
Darboux transformation, heat conduction equation, kink, functional integral