Title of article
New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
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
Pages
26
From page
28
To page
53
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
Journal title
Astroparticle Physics
Serial Year
2020
Record number
2464612
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