A reaction-diffusion equation and its traveling wave solutions Conference Paper

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. 2010 Elsevier Ltd. All rights reserved.

authors

• Chen, Goong

published proceedings

• INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

author list (cited authors)

• Feng, Z., Chen, G., & Meng, Q.

citation count

• 4

complete list of authors

• Feng, Zhaosheng||Chen, Goong||Meng, Qingguo

publication date

• July 2010

publisher

• Elsevier  Publisher

published in

• International Journal of Non-Linear Mechanics  Journal

keywords

• Cole-hopf Transformation
• Fisher Equation
• Infinitesimal Generator
• Lie Symmetry
• Prolonged Operator
• Traveling Waves

Digital Object Identifier (DOI)

• 10.1016/j.ijnonlinmec.2010.03.004

start page

• 634

end page

• 639

volume

• 45

issue

• 6

URL

• http://dx.doi.org/10.1016/j.ijnonlinmec.2010.03.004