A note on solutions of the generalized Fisher equation
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Publication:2345365
DOI10.1016/j.aml.2014.02.009zbMath1327.35165OpenAlexW2047491224MaRDI QIDQ2345365
Nikolay A. Kudryashov, Anastasia S. Zakharchenko
Publication date: 19 May 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2014.02.009
Nonlinear parabolic equations (35K55) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)
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Uses Software
Cites Work
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- One method for finding exact solutions of nonlinear differential equations
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A note on the \(G'/G\)-expansion method
- Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
- On blow up of generalized Kolmogorov-Petrovskii-Piskunov equation
- Exact solitary waves of the Fisher equation
- Solitary wave solution for the generalized Kawahara equation
- On nonlinear population waves
- Explicit solutions of Fisher's equation for a special wave speed
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Polynomials in logistic function and solitary waves of nonlinear differential equations
- Simplest equation method to look for exact solutions of nonlinear differential equations
- Travelling wave solutions of the Burgers-Huxley equation
- Exact solutions of the Burgers-Huxley equation
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
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