TRAVELING WAVE SOLUTIONS TO MODIFIED BURGERS AND DIFFUSIONLESS FISHER PDE'S

被引：6

作者：

Mickens, Ronald ^{[1
]}

Oyedeji, Kale ^{[2
]}

机构：

[1] Clark Atlanta Univ, Dept Phys, Atlanta, GA 30314 USA

[2] Morehouse Coll, Dept Phys, Atlanta, GA 30314 USA

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2019年 / 8卷 / 01期

关键词：

Traveling wave solutions; parabolic PDE'; Burgers' equation; Fisher equations; asymptotics; LAMBERT W-FUNCTION; EQUATION;

D O I：

10.3934/eect.2019008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：139 / 147

页数：9

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