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Volume 5, Issue 1
The Existence of Travelling Wave Front Solutions for Reaction-diffusion System

Li Zhengyuan

J. Part. Diff. Eq.,5(1992),pp.17-22

Published online: 1992-05

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  • Abstract
In this paper by using upper-lower solution method the critical wave speed of wave front for a simplified mathematical model of Belousov-Zhabotinskii chemical reaction u_t - u_{xx} = u(1 - u - rv) v_t - v_{xx} = -buv is obtained, where 0 < r < 1, b > 0 are known.
  • Keywords

Reaction-diffusion system travelling wave front solutions upper-lower solution method B-Z reaction

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COPYRIGHT: © Global Science Press

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@Article{JPDE-5-17, author = {Li Zhengyuan}, title = {The Existence of Travelling Wave Front Solutions for Reaction-diffusion System}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {1}, pages = {17--22}, abstract = { In this paper by using upper-lower solution method the critical wave speed of wave front for a simplified mathematical model of Belousov-Zhabotinskii chemical reaction u_t - u_{xx} = u(1 - u - rv) v_t - v_{xx} = -buv is obtained, where 0 < r < 1, b > 0 are known.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5725.html} }
TY - JOUR T1 - The Existence of Travelling Wave Front Solutions for Reaction-diffusion System AU - Li Zhengyuan JO - Journal of Partial Differential Equations VL - 1 SP - 17 EP - 22 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5725.html KW - Reaction-diffusion system KW - travelling wave front solutions KW - upper-lower solution method KW - B-Z reaction AB - In this paper by using upper-lower solution method the critical wave speed of wave front for a simplified mathematical model of Belousov-Zhabotinskii chemical reaction u_t - u_{xx} = u(1 - u - rv) v_t - v_{xx} = -buv is obtained, where 0 < r < 1, b > 0 are known.
Li Zhengyuan. (1970). The Existence of Travelling Wave Front Solutions for Reaction-diffusion System. Journal of Partial Differential Equations. 5 (1). 17-22. doi:
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