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Paul Bracken

Publications (2)

Deformation of Surfaces in Three-Dimensional Space Induced by Means of Integrable Systems

Paul Bracken · Journal of Advances in Mathematics and Computer Science · 2012

The correspondence between dierent versions of the Gauss-Weingarten equation is investigated. The compatibility condition for one version of the Gauss-Weingarten equation gives the Gauss-Mainardi-Codazzi system. A deformation of the surface is postulated which takes the same form...

Open access Research Article 10.9734/BJMCS/2012/1998

Formulation of a Connection for Prolongations and an Application to the Burgers-KdV Equation

Paul Bracken · Journal of Advances in Mathematics and Computer Science · 2012

The Wahlquist-Estabrook approach which has been applied to investigate the prolongation structure of many nonlinear systems is introduced. The theory which results is applied to the Burgers-KdV equation which is shown to have a nontrivial prolongation algebra. It is shown that th...

Open access Research Article 10.9734/BJMCS/2012/1141