Painléve Analysis and Backlund Transformations for Coupled Generalized Schrödinger–Boussinesq Systemfn2

Painleve analysis of coupled generalized Schrodinger–Boussinesq system with arbitrary parameters has been carried out. We identify two branches of leading singularities in the Painleve formalism for PDEs as developed by Weiss et al., [J. Math. Phys, 24, 522 (1983) ] . The coupled system is shown to be completely integrable in one of the branches, for which case the associated Backlund transformation is explicitly given. Relevance of the results for coupled nonlinear wave propagation in magnetized plasmas is pointed out.