Образец цитирования:
С. Ю. Доброхотов, П. Н. Жевандров, В. М. Кузьмина, “Асимптотика решения задачи Коши–Пуассона в слое непостоянной толщины”, Матем. заметки, 53:6 (1993), 141–145; Math. Notes, 53:6 (1993), 657–660
S. Yu. Dobrokhotov, S. A. Sergeev, “Asymptotics of the Solution of the Cauchy Problem with Localized Initial Conditions for a Wave Type Equation with Time Dispersion. I. Basic Structures”, Russ. J. Math. Phys., 29:2 (2022), 149
С. Ю. Доброхотов, В. Е. Назайкинский, А. И. Шафаревич, “Эффективные асимптотики решений задачи Коши с локализованными начальными данными для линейных систем дифференциальных и псевдодифференциальных уравнений”, УМН, 76:5(461) (2021), 3–80; S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations”, Russian Math. Surveys, 76:5 (2021), 745–819
Grushin V.V. Sergeev S.A., “Asymptotics of the Propagation Problem For Linear Waves on a Two-Dimensional Lattice and Modified Maslov'S Canonical Operator”, Russ. J. Math. Phys., 27:1 (2020), 31–47
Dobrokhotov S.Yu. Nazaikinskii V.E. Tolchennikov A.A., “Uniform Formulas For the Asymptotic Solution of a Linear Pseudodifferential Equation Describing Water Waves Generated By a Localized Source”, Russ. J. Math. Phys., 27:2 (2020), 185–191
С. Ю. Доброхотов, В. Е. Назайкинский, “Проколотые лагранжевы многообразия и асимптотические решения линейных уравнений волн на воде с локализованными начальными условиями”, Матем. заметки, 101:6 (2017), 936–943; S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Punctured Lagrangian manifolds and asymptotic solutions of linear water wave equations with localized initial conditions”, Math. Notes, 101:6 (2017), 1053–1060
Dobrokhotov S.Yu. Nazaikinskii V.E. Tolchennikov A.A., “Asymptotics of Linear Water Waves Generated By a Localized Source Near the Focal Points on the Leading Edge”, Russ. J. Math. Phys., 24:4 (2017), 544–552
Anikin A.Yu. Dobrokhotov S.Yu. Nazaikinskii V.E. Rouleux M., “Asymptotics of Green Function For the Linear Waves Equations in a Domain With a Non-Uniform Bottom”, Proceedings of the International Conference Days on Diffraction (Dd) 2017, ed. Motygin O. Kiselev A. Goray L. Suslina T. Kazakov A. Kirpichnikova A., IEEE, 2017, 18–23
A. Yu. Anikin, S. Yu. Dobrokhotov, V.E. Nazaikinskii, M. Rouleux, 2017 Days on Diffraction (DD), 2017, 18
S. Yu. Dobrokhotov, R. V. Nekrasov, B. Tirozzi, “Asymptotic solutions of the linear shallow-water equations with localized initial data”, J Eng Math, 69:2-3 (2011), 225
Dobrokhotov, SY, “Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations”, Russian Journal of Mathematical Physics, 16:2 (2009), 228
Dobrokhotov, SY, “Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations”, Russian Journal of Mathematical Physics, 15:2 (2008), 192
S. Yu. Dobrokhotov, S. Ya. Sekerzh-Zenkovich, B. Tirozzi, B. Volkov, “Explicit asymptotics for tsunami waves in framework of the piston model”, Russ. J. Earth Sci., 8:4 (2006), 1