Traveling wavefront solutions to nonlinear reaction-diffusion-convection equations

被引：7
|
作者：
Indekeu, Joseph O. [1 ]
Smets, Ruben [1 ]
机构：
[1] Katholieke Univ Leuven, Inst Theoret Phys, Celestijnenlaan 200D, BE-3001 Leuven, Belgium
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 31期
关键词：
population dynamics; reaction-diffusion equation; exact solutions; FISHER EQUATION;
D O I：
10.1088/1751-8121/aa7a93
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Physically motivated modified Fisher equations are studied in which nonlinear convection and nonlinear diffusion is allowed for besides the usual growth and spread of a population. It is pointed out that in a large variety of cases separable functions in the form of exponentially decaying sharp wavefronts solve the differential equation exactly provided a co-moving point source or sink is active at the wavefront. The velocity dispersion and front steepness may differ from those of some previously studied exact smooth traveling wave solutions. For an extension of the reaction-diffusion-convection equation, featuring a memory effect in the form of a maturity delay for growth and spread, also smooth exact wavefront solutions are obtained. The stability of the solutions is verified analytically and numerically.
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收藏
页数：12
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