TITLE:
Travelling Wave Solutions of Kaup-Kupershmidt Equation Which Describes Pseudo Spherical Surfaces
AUTHORS:
G. M. Gharib
KEYWORDS:
Soliton Solutions, Pseudo Spherical Surfaces, Nonlinear Evolution Equations
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.1,
January
19,
2015
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.