Scientific Research Publishing

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53339#.VL3H4SzQrzE Author(s)    G. M. Gharib Affiliation(s) Mathematics Department, College of Science and Information Technology, Zarqa University, Zarqa, Jordan . ABSTRACT In this paper I introduce the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudo-spherical surface for Kaup-Ku-pershmidt Equation with constant Gaussian curvature ?1. I obtained new soliton solutions for Kaup-Kupershmidt Equation by using the modified sine-cosine method.   KEYWORDS Soliton Solutions , Pseudo Spherical Surfaces , Nonlinear Evolution Equations Cite this paper Gharib, G. (2015) Travelling Wave Solutions of Kaup-Kupershmidt Equation Which Describes Pseudo Spherical Surfaces. Applied Mathematics , 6 , 163-172. doi: 10.4236/am.2015.61016 .   References [ 1 ] Rogers, C...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47033#.VGL1TmfHRK0 Author(s) Hua Gao , Genhu Di Affiliation(s) Department of Applied Mathematics, Yuncheng University, Yuncheng, China . Department of Applied Mathematics, Yuncheng University, Yuncheng, China . ABSTRACT Based on the -expansion method, a series of exact solutions of the generalized Benjamin equation have been obtained. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the -expansion method is concise, and its applications are promising. KEYWORDS Expansion Met...