Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces
S. M. Sayed, O. O. Elhamahmy, and G. M. Gharib
Source: J. Appl. Math. Volume 2008 (2008), 10 pages.
Abstract
We use the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the KdV-Burgers-Kuramoto and nonlinear Schr\"{o}dinger equations with constant Gaussian curvature $-1$. Travelling wave solutions for the above equations are obtained by using a sech-tanh method and Wu's elimination method.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jam/1234298349
Digital Object Identifier: doi:10.1155/2008/576783
Journal of Applied Mathematics
