Author/Authors :
Mirhosseini-Alizamini, Mehdi Department of Mathematics - Payame Noor University (PNU), Tehran, Iran , Rezazadeh, Hadi Faculty of Engineering Technology - Amol University of Special Modern Technologiesl, Amol, Iran , Mirzazadeh, Mohammad Department of Engineering Sciences, Faculty of Technology and Engineering - University of Guilan, Rudsar , Eslami, Mostafa Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar , Korkmaz, Alpert Department of Mathematics - Cankiri Karatekin University, Cankiri, Turkey
Abstract :
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.
Keywords :
Traveling wave solutions , New extended direct algebraic method , Nonlinear evolution equation , Tzitzica type evolution equations
