Physics, mathematics, and technology

2021 Issue №3

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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.