TY - JOUR
T1 - Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method
AU - Davodi , Amin Gholami
AU - Ganji , Davood Domiri
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 118
EP - 130
PY - 2010
DA - 2010/02
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0939
UR - https://global-sci.org/intro/article_detail/aamm/205.html
KW - The rational hyperbolic method, Zhiber-Shabat, Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough equations.
AB - <p style="text-align: justify;">This paper presents the application of a new method for obtaining
new exact solutions of some well-known nonlinear partial
differential equations. The Rational Hyperbolic method is used for
handling the Zhiber-Shabat equation and the related equations such
as Liouville, Sinh-Gordon, Dodd-Bullough-Mikhailov and
Tzitzeica-Dodd-Bullough equations. We show power of the Rational
Hyperbolic method that is simple and effective for solving nonlinear
partial differential equations.</p>