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Penyelesaian gelombang solitari : kaedah analisis Painleve Invarian dan sistem persamaan Riccati terlurus dengan pekali pembolehubah

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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Official URL: http://www.fs.utm.my/matematika/content/view/101/3...

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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