Paper Info
Title
Analytical properties of nonlinear dislocation equation.
Abstract
Continuum model corresponding to the generalization of both the Fermi–Pasta–Ulam and the Frenkel–Kontorova models is considered. This generalized model can be used for the description of nonlinear dislocation waves in the crystal lattice. Using the Painlevé test we analyze the integrability of this equation. We find that there exists an integrable case of the partial differential equation for nonlinear dislocations. Exact solutions of nonlinear dislocation equation are presented.
Year
DOI
Venue
2017
10.1016/j.aml.2017.01.015
Applied Mathematics Letters
Keywords
Field
DocType
Dislocation,Frenkel–Kontorova model,Fermi–Pasta–Ulam model,Nonlinear dislocation equation,Exact solution
Exact solutions in general relativity,Integrable system,Nonlinear system,Mathematical analysis,Continuum (design consultancy),Dislocation,Frenkel–Kontorova model,Partial differential equation,Physics
Journal
Volume
ISSN
Citations 
69
0893-9659
2
PageRank 
References 
Authors
0.66
2
1
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72