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
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Abstract
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
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | APIRTP method, singular manifold, Riccati equation system, truncated solution expansion, soliton solution, KdV and HKdV equations |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Science |
| ID Code: | 8797 |
| Deposited By: | Ms Zalinda Shuratman |
| Deposited On: | 12 May 2009 07:19 |
| Last Modified: | 13 Aug 2010 07:49 |
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