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Volume 34, Issue 4
Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

Changqing Ji & Pan Yang

DOI: 10.4208/jpde.v34.n4.5

J. Part. Diff. Eq., 34 (2021), pp. 379-392.

Published online: 2021-08

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  • 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.

  • Keywords

Phase plane analysis, stationary solution, heteroclinic orbit, traveling wave solution.

  • AMS Subject Headings

35C07, 35R35, 35K57

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

jcq_115@163.com (Changqing Ji)

yangpan@gs.zzu.edu.cn (Pan Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-34-379, author = {Ji , Changqing and Yang , Pan}, title = {Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/19405.html} }
TY - JOUR T1 - Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries AU - Ji , Changqing AU - Yang , Pan JO - Journal of Partial Differential Equations VL - 4 SP - 379 EP - 392 PY - 2021 DA - 2021/08 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n4.5 UR - https://global-sci.org/intro/article_detail/jpde/19405.html KW - Phase plane analysis, stationary solution, heteroclinic orbit, traveling wave solution. AB -

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.

Ji , Changqing and Yang , Pan. (2021). Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries. Journal of Partial Differential Equations. 34 (4). 379-392. doi:10.4208/jpde.v34.n4.5
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