Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory. (English. Russian original) Zbl 07781666 Proc. Steklov Inst. Math. 322, 105-117 (2023); translation from Tr. Mat. Inst. Steklova 322, 111-123 (2023). MSC: 76B15 76M45 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Proc. Steklov Inst. Math. 322, 105--117 (2023; Zbl 07781666); translation from Tr. Mat. Inst. Steklova 322, 111--123 (2023) Full Text: DOI
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. (English) Zbl 1448.35391 Russ. J. Math. Phys. 27, No. 2, 185-191 (2020). MSC: 35Q35 35S10 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 27, No. 2, 185--191 (2020; Zbl 1448.35391) Full Text: DOI
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. (English) Zbl 1432.76203 Russ. J. Math. Phys. 24, No. 4, 544-552 (2017). MSC: 76M35 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 24, No. 4, 544--552 (2017; Zbl 1432.76203) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. (English. Russian original) Zbl 1372.35180 Math. Notes 101, No. 5, 802-814 (2017); translation from Mat. Zametki 101, No. 5, 700-715 (2017). MSC: 35L20 76E20 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 101, No. 5, 802--814 (2017; Zbl 1372.35180); translation from Mat. Zametki 101, No. 5, 700--715 (2017) Full Text: DOI