OICC Press Mathematical Sciences 2251-7456 18 4 (December 2024) 2023 09 13 Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity 10.1007/s40096-023-00519-y EN Mohammad Ghani School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, CN Nurwidiyanto School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, CN Journal Article 2023 09 13 Abstract In this paper, we continue the study of viscous Burgers’ equations by Il’in and Oleinik for single model equation with convex nonlinearity [ 6 ] by introducing the nonlinear degenerate viscosity. Since the degeneracy of this paper is considered, then there are two conditions for estimate of the traveling fronts U when m≥1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m\ge 1$$\end{document} and 0