Title | ||
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The fifth-order partial differential equation for the description of the α+β Fermi–Pasta–Ulam model |
Abstract | ||
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•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 |
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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. Kudryashov | 1 | 49 | 15.72 |
Alexandr K. Volkov | 2 | 2 | 1.04 |