Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

Year:    2021

Author:    Changqing Ji, Pan Yang

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 379–392

Abstract

This paper investigates a reaction-advection-diffusion equation with double free boundaries. The stationary solution of the system is studied by phase plane analysis. Then, the scale logarithm change sequence method is introduced to show the exact heteroclinic of the system with corresponding parameters. Moreover, a complete description of the types of traveling wave solutions is given with different advection term coefficients.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v34.n4.5

Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 379–392

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Phase plane analysis stationary solution heteroclinic orbit traveling wave solution.

Author Details

Changqing Ji

Pan Yang