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math-ph2017★ 5 cited
The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model
Nikolay A. Kudryashov, Alexandr K. Volkov
We study a new nonlinear partial differential equation of the fifth order for the description of perturbations in the Fermi-Pasta-Ulam mass chain. This fifth-order equation is an e…
math-ph2005
Approximate Solutions of Nonlinear Heat Equation for Given Flow
Mikhail A. Chmykhov, Nikolai A. Kudryashov
The one-dimensional problem of the nonlinear heat equation is considered. We assume that the heat flow in the origin of coordinates is the power function of time and the initial te…