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 -

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.