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A reaction-diffusion equation and its traveling wave solutions |
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| Authors: | Zhaosheng Feng Goong Chen |
| Affiliation: | a Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78539, USA b Department of Mathematics, Texas A&M University, College Station, TX 77843, USA c Department of Mechanics, Tianjin University of Technology and Education, Tianjin 300222, China |
| Abstract: | In the present paper, we study a non-linear reaction-diffusion equation, which can be considered as a generalized Fisher equation. An exact solution and traveling wave solutions to the generalized Fisher equation are obtained by means of the Cole-Hopf transformation and the Lie symmetry method. |
| Keywords: | Traveling waves Fisher equation Cole-Hopf transformation Infinitesimal generator Prolonged operator Lie symmetry |
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