Exact solutions of nonlinear evolution equations using the extended modified Exp(-$\Omega (\xi )$) function method
B. Karaagac, S. Kutluay, N. M. Yagmurlu, A. Esen
Obtaining exact solutions of the evolution equation is one of the very
important subjects in mathematics, science and technology. For this purpose,
many different methods have been constructed and developed. In this article,
a new technique which is called extended modified Exp(-$\Omega (\xi )$)
function method is going to be studied for seeking new exact solutions of
Burger-Fisher equation and Phi Four equation. The method is capable of
deriving many number of solutions. With the aid of the method, various exact
solutions including trigonometric, hyperbolic and rational solutions have been
obtained and using a software the graphical representation of the solutions
have been presented. In conclusion, we can say that the present method can
also be used for the solutions of a wide range of problems.
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