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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Science
2005
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| Subjects: | |
| Online Access: | http://eprints.utm.my/8797/ http://eprints.utm.my/8797/1/MohdNorMohamad2005_PenyelesaianGelombangSolitariKaedahAnalisis.pdf |
| Summary: | 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 |
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