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. |
Databáze: | Directory of Open Access Journals |
Externí odkaz: |