16 citations · 16 across the 3 of their papers we have counts for
4 papers
Logistic function as solution of many nonlinear differential equations
Nikolai A. Kudryashov, Mikhail A. Chmykhov
The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary different…
Thermal regimes of high burn-up nuclear fuel rod
Nikolai A. Kudryashov, Aleksandr V. Khlunov, Mikhail A. Chmykhov
The temperature distribution in the nuclear fuel rods for high burn-up is studied. We use the numerical and analytical approaches. It is shown that the time taken to have the stati…
Power and power-logarithmic expansions for travelling-wave solutions of the Burgers-Huxley equation
Olga Yu. Efimova, Nikolai A. Kudryashov, Mikhail A. Chmykhov
The Burgers-Huxley equation is studied. All power and power-logarithmic expansions for travelling-wave solutions of this equation are presented. Using the power expansions, some ex…
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…