Dobrokhotov, S. Yu.; Grushin, V. V.; Sergeev, S. A.; Tirozzi, B. Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections. (English) Zbl 1359.76057 Russ. J. Math. Phys. 23, No. 4, 455-474 (2016). MSC: 76B15 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 23, No. 4, 455--474 (2016; Zbl 1359.76057) Full Text: DOI OpenURL
Grushin, V. V.; Dobrokhotov, S. Yu.; Sergeev, S. A. Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source. (English. Russian original) Zbl 1293.35279 Proc. Steklov Inst. Math. 281, 161-178 (2013); translation from Tr. Mat. Inst. Steklova 281, 170-187 (2013); corrigendum Proc. Steklov Inst. Math. 288, 265 (2015); translation from Tr. Mat. Inst. Steklova 288, 287 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q53 35B27 35Q35 76B15 PDF BibTeX XML Cite \textit{V. V. Grushin} et al., Proc. Steklov Inst. Math. 281, 161--178 (2013; Zbl 1293.35279); translation from Tr. Mat. Inst. Steklova 281, 170--187 (2013); corrigendum Proc. Steklov Inst. Math. 288, 265 (2013) Full Text: DOI OpenURL
Belov, V. V.; Dobrokhotov, S. Yu.; Tudorovskiy, T. Ya. Operator separation of variables for adiabatic problems in quantum and wave mechanics. (English) Zbl 1110.81080 J. Eng. Math. 55, No. 1-4, 183-237 (2006). MSC: 81Q20 82D20 53D12 70H11 PDF BibTeX XML Cite \textit{V. V. Belov} et al., J. Eng. Math. 55, No. 1--4, 183--237 (2006; Zbl 1110.81080) Full Text: DOI arXiv OpenURL
Dobrokhotov, S. Yu. Resonances in asymptotic solutions of the Cauchy problem for the Schrödinger equation with rapidly oscillating finite-zone potential. (English. Russian original) Zbl 0667.35058 Math. Notes 44, No. 3-4, 656-668 (1988); translation from Mat. Zametki 44, No. 3, 319-340 (1988). Reviewer: E.D.Belokolos MSC: 35P25 35J10 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov}, Math. Notes 44, No. 3--4, 656--668 (1988; Zbl 0667.35058); translation from Mat. Zametki 44, No. 3, 319--340 (1988) Full Text: DOI OpenURL