Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces

Autor: S. M. Sayed, O. O. Elhamahmy, G. M. Gharib
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2008 (2008)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2008/576783
Popis: 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 Schrödinger 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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