On the integrability and singularity structure aspects of deformed nonlinear evolution equations of AKNS type

Abstract

In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution equations (NLEES) of AKNS type introduced by Burtsev, Zakharov and Mikhailov (1987) is carried out and they are shown to possess the Painleve property. The other integrability properties such as Lax pair, Backlund transformation and soliton solutions of these systems are also brought out in detail from the Painleve analysis. We also point out that the non-Painleve nature of the system of partial differential equations satisfied by the variable spectral parameter may not affect the Painleve property and hence the integrability of the associated NLEES.