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

• Main Authors: Mohamad, Mohd. Nor, Yacob, Jusoh
• Format: Article
• Language: English
• Published: Department of Mathematics, Faculty of Science 2005
• Subjects: QA Mathematics; QC Physics
• Online Access: http://eprints.utm.my/id/eprint/8797/1/MohdNorMohamad2005_PenyelesaianGelombangSolitariKaedahAnalisis.pdf; http://eprints.utm.my/id/eprint/8797/; http://www.fs.utm.my/matematika/content/view/101/31/

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