# American Institute of Mathematical Sciences

March  2019, 8(1): 139-147. doi: 10.3934/eect.2019008

## Traveling wave solutions to modified Burgers and diffusionless Fisher PDE's

 1 Clark Atlanta University, Department of Physics, Atlanta, GA 30314, USA 2 Morehouse College, Department of Physics, Atlanta, GA 30314, USA

Corresponding author: Kale Oyedeji, 470-639-0285

Received  October 2017 Revised  January 2018 Published  January 2019

We investigate traveling wave (TW) solutions to modified versionsof the Burgers and Fisher PDE’s. Both equations are nonlinear parabolicPDE’s having square-root dynamics in their advection and reaction terms.Under certain assumptions, exact forms are constructed for the TW solutions.

Citation: Ronald Mickens, Kale Oyedeji. Traveling wave solutions to modified Burgers and diffusionless Fisher PDE's. Evolution Equations & Control Theory, 2019, 8 (1) : 139-147. doi: 10.3934/eect.2019008
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##### References:
a) $v(z)$ vs $z$, b) $f(z) = v(z)^2$ vs $z$. See Eqs. (5.10) and (5.13).
a) $v(z)$ vs $z$, \quad b) $f(z)$ vs $z$. See Eq. (5.15).
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