symmetries,
conservation laws of PDEs,
invariant solutions,saw-tooth sjlutions
Subject:
symmetries and conservation laws of PDEs, invariant solutions
Main publications:
A. Samokhin, “Gradient catastrophes for a generalized Burgers equation on a finite interval”, Geometry and Physics, 85 (2014), 177–184
A. Samokhin, “Full symmetry algebra for ODEs and control systems”, Acta Applicandae Mathematicae, 72:1/2 (2002), 87–99
A. Samokhin, “Symmetries of linear and linearizable systems of differential equations”, Acta Applicandae Mathematicae, 2:2/3 (1999), 253–300
Samokhin A., “Soliton transmutations in KdV-Burgers
layered media,Volume 148,
February 2020, 9 pages, 103547. Available online 14 November
2019.”, https://doi.org/10.1016/j.geomphys.2019.103547, Journal of Geometry and Physics, 148 (2019), 9
Samokhin A., “Reflection and refraction of solitons by the
KdV–Burgers equation in nonhomogeneous dissipative media”, DOI: 10.1134/S00, Theoretical and Mathematical Physics, 197:1 (2018), 1527–1533
A. V. Akhmetzyanov, A. V. Samokhin, “Nonlinear wave control actions to increase oil recovery of natural reserves”, Avtomat. i Telemekh., 2022, no. 5, 61–75; Autom. Remote Control, 83:5 (2022), 721–733
A. V. Samokhin, “Reflection and refraction of solitons by the $\text{KdV}$–Burgers equation in nonhomogeneous dissipative media”, TMF, 197:1 (2018), 153–160; Theoret. and Math. Phys., 197:1 (2018), 1527–1533
A. V. Samokhin, “The Burgers equation with periodic boundary conditions on an interval”, TMF, 188:3 (2016), 470–476; Theoret. and Math. Phys., 188:3 (2016), 1371–1376
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190; Russian Math. Surveys, 75:2 (2020), 369–375
Contact us: