Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah
A new method to find solitary wave solutions of the nonlinear evolutions is investigated. The method of invariant Painlev´e analysis and linearised Riccati system of equations with variable coefficients, abbreviated as APIRTP is a method based on singular manifold analysis. The expressions of the s...
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| Format: | Article |
| Language: | en |
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Department of Mathematics, Faculty of Science
2005
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| Online Access: | http://eprints.utm.my/8797/1/MohdNorMohamad2005_PenyelesaianGelombangSolitariKaedahAnalisis.pdf http://eprints.utm.my/8797/ http://www.fs.utm.my/matematika/content/view/101/31/ |
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| _version_ | 1845472080927129600 |
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| author | Mohamad, Mohd. Nor Yacob, Jusoh |
| author_facet | Mohamad, Mohd. Nor Yacob, Jusoh |
| author_sort | Mohamad, Mohd. Nor |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | A new method to find solitary wave solutions of the nonlinear evolutions is investigated. The method of invariant Painlev´e analysis and linearised Riccati system of equations with variable coefficients, abbreviated as APIRTP is a method based on singular manifold analysis. The expressions of the singular manifold are simplified in the form of Schwarzian derivative S. S is a variable coefficient of the Riccati equations. By using the APIRTP method, the truncated solution expansions and solitary wave solutions of the KdV and HKdV equations are obtained |
| format | Article |
| id | my.utm.eprints-8797 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2005 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | eprints |
| spelling | my.utm.eprints-87972017-10-11T01:55:49Z http://eprints.utm.my/8797/ Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah Mohamad, Mohd. Nor Yacob, Jusoh QA Mathematics QC Physics A new method to find solitary wave solutions of the nonlinear evolutions is investigated. The method of invariant Painlev´e analysis and linearised Riccati system of equations with variable coefficients, abbreviated as APIRTP is a method based on singular manifold analysis. The expressions of the singular manifold are simplified in the form of Schwarzian derivative S. S is a variable coefficient of the Riccati equations. By using the APIRTP method, the truncated solution expansions and solitary wave solutions of the KdV and HKdV equations are obtained Department of Mathematics, Faculty of Science 2005-06 Article PeerReviewed application/pdf en http://eprints.utm.my/8797/1/MohdNorMohamad2005_PenyelesaianGelombangSolitariKaedahAnalisis.pdf Mohamad, Mohd. Nor and Yacob, Jusoh (2005) Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah. Matematika, 21 (1). pp. 79-88. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/101/31/ |
| spellingShingle | QA Mathematics QC Physics Mohamad, Mohd. Nor Yacob, Jusoh Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title | Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title_full | Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title_fullStr | Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title_full_unstemmed | Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title_short | Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah |
| title_sort | penyelesaian gelombang solitari : kaedah analisis painleve invarian dan sistem persamaan riccati terlurus dengan pekali pembolehubah |
| topic | QA Mathematics QC Physics |
| url | http://eprints.utm.my/8797/1/MohdNorMohamad2005_PenyelesaianGelombangSolitariKaedahAnalisis.pdf http://eprints.utm.my/8797/ http://www.fs.utm.my/matematika/content/view/101/31/ |
| url_provider | http://eprints.utm.my/ |