mathematical models of non-linear wave processes, theory of non-linear differential equations, solitons in condensed matter, mathematical models in biology
Biography
Experienced in non-linear mathematics and mechanics, mathematical physics, theory of non-linear waves in condensed matter, theory of non-linear differential equations, non-linear elasticity, non-linear acoustics, numerical analysis. Published more than 90 papers in peer-reviewed journals, more than 120 papers in conference proceedings and 5 certified inventions (patents); developed the mathematical theory of non-linear strain waves in elastic wave guides and on surfaces. Predicted the existence and amplification of strain solitons, initiated and lead the pioneering experiments for their generation in solids, in which solitons were discovered, and therefore, the deformation energy transfer in highly dispersive and dissipative wave guides was proved. Proposed the new approach to finding exact explicit travelling wave solutions for general non-linear equations with dispersion, diffusion and dissipation, obtained some new solutions for the general Lie equation, the non-linear reaction-diffusion, KdV-Burgers and dissipative double dispersive equations. Patented new devices for generation and focusing of weak shocks and solitons in transparent elastic solids.
Languages: English (fluent), German (adequate communication), Russian (native).
Main publications:
A. M. Samsonov, “Soliton evolution in a rod with variable cross section”, Soviet Physics – Doklady, 29 (1984), 586–588
A. M. Samsonov, “On existence of longitudinal strain solitons in an infinite nonlinearly elastic rod”, Soviet Physics – Doklady, 33:4 (1988), 298–300
G.V. Dreiden, Y.I. Ostrovsky, A.M. Samsonov et al., “Formation and propagation of strain solitons in nonlinearly elastic solids”, Sov. Phys. Techn. Phys, 33:10 (1988), 1237–1241
A.M. Samsonov, Strain Solitons in Solids and how to construct them, Chapman & HallCRC Press, Boca Raton, London, New York, 2001
G. V. Dreiden A. M. Samsonov I. V. Semenova A. G. Shvartz, “Strain solitary waves in a thin-walled waveguide”, Applied Physics Letters, 105 (2014)
I. A. Gula, A. M. Samsonov, “Bulk nonlinear elastic strain waves in a bilayer coaxial cylindrical rod”, Zhurnal Tekhnicheskoi Fiziki, 87:12 (2017), 1782–1789; Tech. Phys., 62:12 (2017), 1778–1786
O. A. Moskalyuk, A. M. Samsonov, I. V. Semenova, V. E. Smirnova, V. E. Yudin, “Mechanical properties of polymeric composites with carbon dioxide particles”, Zhurnal Tekhnicheskoi Fiziki, 87:2 (2017), 266–270; Tech. Phys., 62:2 (2017), 294–298
F. E. Garbuzov, A. M. Samsonov, A. A. Semenov, A. G. Shvartz, “Determination of third-order elastic moduli via parameters of bulk strain solitons”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 42:3 (2016), 16–22; Tech. Phys. Lett., 42:2 (2016), 121–123
K. R. Khusnutdinova, A. M. Samsonov, A. S. Zakharov, “Nonlinear long-wave models for imperfectly bonded layered waveguides”, TMF, 159:3 (2009), 475–489; Theoret. and Math. Phys., 159:3 (2009), 819–832
G. V. Dreiden, Yu. I. Ostrovskii, A. M. Samsonov, I. V. Semenova, E. V. Sokurinskaya, “SHOCK-WAVES IN THE VICINITY OF LIQUID AND SOLID-STATE INTERFACE”, Zhurnal Tekhnicheskoi Fiziki, 59:1 (1989), 203–208
1988
6.
A. M. Samsonov, “On the existence of solitons of longitudinal deformation in an
infinite nonlinearly elastic rod”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1083–1086; Dokl. Math., 33:4 (1988), 298–300
7.
G. V. Dreiden, Yu. I. Ostrovskii, A. M. Samsonov, I. V. Semenova, E. V. Sokurinskaya, “FORMATION AND DISTRIBUTION OF DEFORMATION SOLITONS IN NONLINEAR-ELASTIC
SOLIDS”, Zhurnal Tekhnicheskoi Fiziki, 58:10 (1988), 2040–2047
A. M. Samsonov, E. V. Sokurinskaya, “POTENTIALITIES FOR EXCITATION OF LONGITUDINALLY DEFORMED SOLITONS IN
NONLINEAR-ELASTIC BARS”, Zhurnal Tekhnicheskoi Fiziki, 58:8 (1988), 1632–1634
1986
9.
G. V. Dreiden, Yu. I. Ostrovskii, A. M. Samsonov, E. V. Sokurinskaya, “Interaction of shock compression waves with the plane interface of liquid and solids”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 12:19 (1986), 1153–1158
1984
10.
A. M. Samsonov, “Evolution of a soliton in a nonlinearly elastic rod of variable cross section”, Dokl. Akad. Nauk SSSR, 277:2 (1984), 332–335
V. A. Kosobukin, A. M. Samsonov, “SURFACE ELECTRODYNAMICS IN THE EXCITATION OF DIELECTRIC PERMEABILITY IN
THE MICROSCOPICALLY NARROW REGION - LIGHT-REFLECTION IN THE MULTILAYERED
MODEL”, Zhurnal Tekhnicheskoi Fiziki, 54:1 (1984), 19–31
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