Travelling wave solutions for time-delayed nonlinear evolution equations

Time-delayed nonlinear evolution equations have a wide range of applications in science and engineering. In this paper, the ( G ′ G ) -expansion method is implemented to establish travelling wave solutions for time-delayed Burgers and time-delayed Burgers–Fisher equations. The travelling wave solutions are expressed by hyperbolic functions and trigonometric functions. The results reveal that ( G ′ G ) -expansion method is very effective and a powerful tool for solving nonlinear time-delayed evolution equations arising in mathematical physics.