Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth

DOI10.3934/dcds.2009.24.763zbMath1360.34100OpenAlexW2047514009MaRDI QIDQ1030535

Goong Chen, Zhao-sheng Feng

Publication date: 2 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.763

zbMATH Keywords

traveling wavesinfinitesimal generatorcenter manifoldfirst integralequilibrium pointFisher equationLie symmetryprolonged operator

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

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