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Zbl 1189.35281
Kim, Hyunsoo; Sakthivel, Rathinasamy
Travelling wave solutions for time-delayed nonlinear evolution equations. (English)
[J] Appl. Math. Lett. 23, No. 5, 527-532 (2010). ISSN 0893-9659

Summary: Time-delayed nonlinear evolution equations have a wide range of applications in science and engineering. In this paper, the $(\frac{G'}{G})$-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 $(\frac{G'}{G})$-expansion method is very effective and a powerful tool for solving nonlinear time-delayed evolution equations arising in mathematical physics.

MSC 2000:: *35Q53 KdV-like equations
35C07
35C09
35A24

Keywords: $(\frac{G'}{G})$-expansion method; homogeneous balance; hyperbolic function solutions; trigonometric function solutions; solitary wave solutions; time-delayed equations

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