Exact solitary waves of the Fisher equation

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Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity (2010, methodology): “Variants of the Bernoulli and Ricatti equations have been used in some applications of the method of the simplest equation (see for an example [36,46]).”
Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs (2011, methodology): “;0 ð2:13Þ In the classic version of the simplest equation method, Kudryashov determines g by a procedure analogous to the first step of the test for the Painleve property [25,43,66].”
Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics (2010, methodology): “By means of such methods numerous exact solutions of many equations have been obtained such as for an example the Kuramoto–Shivasinsky equation [22], equations, connected to the models of population dynamics [23–34], sine-Gordon equation [35–44], sinh-Gordon or Poisson–Boltzmann equation [45–48], Lo”