Annotation
It is shown that the self-consistent mathematical model including the equations of the theory of elasticity and the kinetic equations for density of various types of point defects can be reduced to the nonlinear evolution equation. The equation incorporates the known equations of wave dynamics: the Korteweg–de Vries–Burgers' equation and the Klein–Gordon equation.
Received: 2017 July 5
Approved: 2017 October 17
PACS:
43.25.Dc Nonlinear acoustics of solids
61.72.Ji Point defects
61.72.Ji Point defects
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
V. I. Erofeyev, A. V. Leonteva, A. O. Malhanov
$^1$Mechanical Engineering Research Institute of RAS – Branch of Federal Research Center «Institute of Applied Physics of the RAS»
$^1$Mechanical Engineering Research Institute of RAS – Branch of Federal Research Center «Institute of Applied Physics of the RAS»
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