Abstract
BackgroundRecently, nonlinear time-delayed evolution equations have received considerable interest due to their numerous applications in the areas of physics, biology, chemistry and so on.MethodsIn this paper, we obtain traveling wave solutions by using the extended left( frac{G^{prime}}{G}right)-expansion method.ResultsBased on the method, we get many solutions of the time-delayed generalized Burgers-type equations.ConclusionsThe results reveal that the extended left( frac{G^{prime}}{G}right)-expansion method is direct, effective and can be used for many other nonlinear time-delayed evolution equations.
Highlights
Nonlinear time-delayed evolution equations have received considerable interest due to their numerous applications in the areas of physics, biology, chemistry and so on
The results reveal that the extended
-expansion method, we have constructed many traveling wave solutions of the time-delayed generalized Burgers-type equation which include the hyperbolic function solutions, trigonometric function solutions
Summary
Nonlinear time-delayed evolution equations have received considerable interest due to their numerous applications in the areas of physics, biology, chemistry and so on. Theory and numerical analysis of nonlinear time-delayed evolution equations have received considerable interest due to their numerous applications in the areas of physics, biology, chemistry and so on. -expansion method to obtain traveling wave solutions of the following time-delayed generalized Burgers-type equations (Kar et al.2003): Tang et al SpringerPlus (2016) 5:2094. The time-delayed generalized Burgers equation: τ vtt + vt + pvsvx − vxx = 0. -expansion method for obtaining traveling wave solutions of nonlinear time-delayed evolution equation are given. In “Results” section, we construct traveling solutions of the time-delayed generalized Burgers-type equation.
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