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Abstract

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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