Existence and stability of generalized transition waves for time-dependent reaction-diffusion systems
Existence and stability of generalized transition waves for time-dependent reaction-diffusion systems
<p style='text-indent:20px;'>The current paper is devoted to the study of the existence and stability of generalized transition waves of the following time-dependent reaction-diffusion cooperative system <p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \frac{{\partial} \mathbf{u}}{{\partial} t}(t,x) = \Delta \mathbf{u}(t,x)+\mathbf{F}(t,\mathbf{u}(t,x)),\quad (x,t)\in {\mathbb{R}}^{N}\times {\mathbb{R}},\, \mathbf{u}\in \Bbb{R}^{K},\, K>1. \end{equation*} $\end{document} </tex-math></disp-formula> <p style='text-indent:20px;'>Here <inline-formula><tex-math …