Author(s)

G. M. Gharib

Mathematics Department, College of Science and Information Technology, Zarqa University, Zarqa, Jordan.

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.

Soliton Solutions, Pseudo Spherical Surfaces, Nonlinear Evolution Equations

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.