On the exact and numerical solution of the time-delayed Burgers equation

Abstract

The time-delayed Burgers equation is introduced and the improved tanh-function method is used to construct exact multiple soliton and triangular periodic solutions. For an understanding of the nature of the exact solutions that contained the time-delay parameter, we calculated the numerical solutions of this equation by using the Adomian decomposition method to the boundary value problem.

Keywords:

• travelling wave
• tanh-function method
• time-delayed Burgers equation
• Adomian decomposition method

2000 AMS Subject Classification :

• 35D05
• 35J70
• 35R35
• 49J40