Dobrokhotov, S. Yu.; Shafarevich, A. I. Semiclassical asymptotic behavior of the scattering of wave packets by the rapidly changing potential given by the equation \(-2| \nabla \Phi | ^ 2/\cosh ^ 2[\Phi (X)/h]+V_ 0(X)\). (English. Russian original) Zbl 0696.35125 Sov. Phys., Dokl. 32, No. 8, 633-635 (1987); translation from Dokl. Akad. Nauk SSSR 295, 1347-1351 (1987). Reviewer: J.H.Tian MSC: 35P25 35K15 35B30 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{A. I. Shafarevich}, Sov. Phys., Dokl. 32, No. 8, 633--635 (1987; Zbl 0696.35125); translation from Dokl. Akad. Nauk SSSR 295, 1347--1351 (1987)
Berlyand, L. V.; Dobrokhotov, S. Yu. “Operator separation of variables” in problems of short-wave asymptotic behavior for differential equations with fast oscillating coefficients. (English. Russian original) Zbl 0671.35013 Sov. Phys., Dokl. 32, No. 9, 714-716 (1987); translation from Dokl. Akad. Nauk SSSR 296, 80-84 (1987). MSC: 35G10 35B40 35B05 PDFBibTeX XMLCite \textit{L. V. Berlyand} and \textit{S. Yu. Dobrokhotov}, Sov. Phys., Dokl. 32, No. 9, 714--716 (1987; Zbl 0671.35013); translation from Dokl. Akad. Nauk SSSR 296, 80--84 (1987)
Dobrokhotov, S. Yu. Nonlocal analogs of the nonlinear Boussinesq equation for surface waves over a rough bottom, and their asymptotic solutions. (English. Russian original) Zbl 0626.76023 Sov. Phys., Dokl. 32, 18-20 (1987); translation from Dokl. Akad. Nauk SSSR 292, 63-67 (1987). MSC: 76B15 35Q99 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov}, Sov. Phys., Dokl. 32, 18--20 (1987; Zbl 0626.76023); translation from Dokl. Akad. Nauk SSSR 292, 63--67 (1987)
Dobrokhotov, S. Yu. Maslov’s methods in the linearized theory of gravitational waves on a fluid surface. (English. Russian original) Zbl 0533.76013 Sov. Phys., Dokl. 28, 229-231 (1983); translation from Dokl. Akad. Nauk SSSR 269, 76-80 (1983). Reviewer: S.K.Goswami MSC: 76B15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov}, Sov. Phys., Dokl. 28, 229--231 (1983; Zbl 0533.76013); translation from Dokl. Akad. Nauk SSSR 269, 76--80 (1983)
Dobrokhotov, S. Yu.; Maslov, V. P. Asymptotics of a spectral boundary-value problem for a nonlinear equation for semiconductors. (English. Russian original) Zbl 0423.35070 Sov. Phys., Dokl. 23, 894-896 (1978); translation from Dokl. Akad. Nauk SSSR 243, 897-900 (1978). MSC: 35P15 35Q99 35C20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. P. Maslov}, Sov. Phys., Dokl. 23, 894--896 (1978; Zbl 0423.35070); translation from Dokl. Akad. Nauk SSSR 243, 897--900 (1978)