Evolution of pattern formation under ion bombardment of substrate. Physics Letters, Section A: General, Atomic and Solid State Physics Volume 377, Issue 10-11, 1 April 2013, Pages 753-759

14 сентября 2018
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Контактные данные автора публикации Kudryashov, N.A. , Ryabov, P.N., Fedyanin, T.E., Kutukov, A.A. Department of Applied Mathematics, National Research Nuclear University MEPHI
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Аннотация

Processes of self-organization described by a nonlinear evolution equation of sixth order are considered on substrate surfaces after ion beam bombardment. Five families of exact solutions are found for the nonlinear evolution equation. A numerical method enabling one to solve the boundary value problem is presented. Simulation of the pattern formation and classification of their profiles are given. The influence of the third, fifth order dispersion terms and a nonlinear diffusion term on processes of the pattern formation is discussed. © 2013 Elsevier B.V. All rights reserved.
Author keywords
Exact solution; Ion beam bombardment; Kudryashov method; Pattern formation; Self-organization
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