%0 Journal Article
%T Solitary Wave Solutions: Method of Invariant Painlev¨¦ Analysis and Linearised Riccati System of Equations with Variable Coefficients
%A Jusoh Yacob
%A Mohd Nor Mohamad
%J Matematika
%D 2005
%I Universiti Teknologi Malaysia
%X A new method to find solitary wave solutions of the nonlinear evolutions is investigated. The method of invariant Painlev¨¦ 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.
%K APIRTP method
%K singular manifold
%K Riccati equation system
%K truncated solution expansion
%K soliton solution
%K KdV and HKdV equations.
%U http://www.fs.utm.my/matematika/images/stories/matematika/200521107.pdf