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Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation
Maria V. Demina, Nikolai A. Kudryashov
Fourth - order analogue to the second Painlevé equation is studied. This equation has its origin in the modified Korteveg - de Vries equation of the fifth order when we look for it…
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…
Power solution expansions of the analogue tothe first Painleve equation
Aleksandr D. Bruno, Nikolai A. Kudryashov
The fourth-order analog to the first Painlevé equation is studied. All power expansions for solutions of this equation near points and are found. The exponential a…
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…
Power expansions for solution of the fourth-order analog to the first Painlevé equation
Nikolai A. Kudryashov, Olga Yu. Efimova
One of the fourth-order analog to the first Painlevé equation is studied. All power expansions for solutions of this equation near points and are found by means of…