PAINLEVE TEST: DEFORMED COUPLED KDV TYPE NONLINEAR SCHR ODINGER EQUATION
Shaik Mohammad Raffi* and W. Abdul Hameed
Abstract
In this paper, we study an integrable system of deformed coupled Kdv
type nonlinear Schrodinger equation (NLSE) and show that it passes
Painleve test and therefore it is Painleve integrable. We also present
complete group classi cation of this equation by obtaining point
symmetries, corresponding reduced system of ordinary di erential
equations (ODEs) and some particular solutions are also derived.
Keywords: Point trasformations, Painleve test, deformed kdv type nonlinear Schrodinger equation.
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