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nlin.SI2014
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…
nlin.SI2005
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…