New exact solutions of some (2+1)-dimensional Burgers-type systems and interactions

In this paper, we construct new exact solutions of some (2+1)-dimensional Burgers-type systems by using corresponding Cole–Hopf-type transformations. The obtained linear equations show that abundant (2+1)-dimensional soliton structures can be constructed for the physical quantity W=λ(lnf)xy\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W=\lambda (\mathrm{ln} f)_{xy}$$\end{document} by selecting appropriate parameters. In particular, new meshy soliton structures and interactions are revealed for the first time.