mathematical models of non-linear wave processes, theory of non-linear differential equations, solitons in condensed matter, mathematical models in biology
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)
