Asymptotic behavior of traveling wavefronts for nonlinear reaction–diffusion equations with relativistic-type diffusions
摘要
This paper is concerned with the nonlinear reaction–diffusion equations with relativistic-type diffusions. The proposed approach utilized to establish the new results of existence and asymptotic behavior of traveling wavefronts is based on the theorem of the monotone dynamical system. Some corresponding results in the literature can be enriched and extended. In addition, two typical examples and the corresponding numerical simulations have been carried out to support our analytic findings. Some previously known results can be extended and complemented.