Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces
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 eq...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2008/576783 |
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| author | S. M. Sayed O. O. Elhamahmy G. M. Gharib |
| author_facet | S. M. Sayed O. O. Elhamahmy G. M. Gharib |
| author_sort | S. M. Sayed |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c6ca2c534d2c4c38ad8cdc65c6db1b01 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c6ca2c534d2c4c38ad8cdc65c6db1b012025-02-03T01:12:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/576783576783Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical SurfacesS. M. Sayed0O. O. Elhamahmy1G. M. Gharib2Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, EgyptMathematics Department, Faculty of Science, Suez Canal University, Ismailia, EgyptMathematics Department, Tabouk Teacher College, Tabouk University, Ministry of Higher Education, P.O. Box 1144, Tabouk, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2008/576783 |
| spellingShingle | S. M. Sayed O. O. Elhamahmy G. M. Gharib Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces Journal of Applied Mathematics |
| title | Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces |
| title_full | Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces |
| title_fullStr | Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces |
| title_full_unstemmed | Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces |
| title_short | Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces |
| title_sort | travelling wave solutions for the kdv burgers kuramoto and nonlinear schrodinger equations which describe pseudospherical surfaces |
| url | http://dx.doi.org/10.1155/2008/576783 |
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