Title
The fifth-order partial differential equation for the description of the α+β Fermi–Pasta–Ulam model
Abstract
•The nonlinear fifth-order PDE for the description of the Fermi–Pasta–Ulam mass chain is considered.•The Painlevé approach is used to investigate the equation.•It is shown that the equation does not pass the Painlevé test.•The logistic function method is applied to obtain the travelling wave solutions.•The pseudospectral method is used to find numerical solutions of the mathematical model.
Year
DOI
Venue
2017
10.1016/j.cnsns.2016.06.003
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Fermi–Pasta–Ulam model,Continuous limit,Painlevé test,Exact solution,Pseudospectral method
Journal
42
ISSN
Citations 
PageRank 
1007-5704
1
0.62
References 
Authors
6
2
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72
Alexandr K. Volkov221.04