Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations

Abstract

This paper deals with special kinds of exact solutions called kinky breather-wave and lump solutions. In this respect, kinky breather-wave solutions to the (2 + 1)-dimensional Burgers equations are acquired through the use of the extended homoclinic test technique and the Hirota bilinear method. In a special case, bright-dark lump solutions are extracted from kinky breather-wave solutions by adopting some fundamental assumptions. The dynamical behaviors of kinky breather-wave and lump solutions are analyzed by presenting a series of three dimensional and density graphs.