%0 Journal Article
%T New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Mirhosseini-Alizamini, Seyed Mehdi
%A Rezazadeh, Hadi
%A Eslami, Mostafa
%A Mirzazadeh, Mohammad
%A Korkmaz, Alpert
%D 2020
%\ 01/01/2020
%V 8
%N 1
%P 28-53
%! New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
%K Nonlinear evolution equation
%K Tzitzica type evolution equations
%K New extended direct algebraic method
%K traveling wave solutions
%R 10.22034/cmde.2019.9472
%X In this study, the new extended direct algebraic method is exerted for constructing more general exact solutions of the three nonlinear evolution equations with physical interest namely, the Tzitzeica equation, the Dodd-Bullough-Mikhailor equation and the Liouville equation. By using of an appropriate traveling wave transformation reduces these equations to ODE. We state that this method is excellently a generalized form to obtain solitary wave solutions of the nonlinear evolution equations that are widely used in theoretical physics. The method appears to be easier and faster by means of symbolic computation system.
%U https://cmde.tabrizu.ac.ir/article_9472_62cac0c46c957af29dce04d05abe9ef8.pdf