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Article Contents

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

• Corresponding author: Kale Oyedeji, 470-639-0285
• 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.

Mathematics Subject Classification: Primary: 34E05, 35K57; Secondary: 35B09, 35B40.

 Citation:

• Figure 1.  a) $v(z)$ vs $z$, b) $f(z) = v(z)^2$ vs $z$. See Eqs. (5.10) and (5.13).

Figure 2.  a) $v(z)$ vs $z$, \quad b) $f(z)$ vs $z$. See Eq. (5.15).

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