RATIONAL SOLUTIONS OF INTEGRABLE EQUATIONS VIA NONLINEAR SUPERPOSITION FORMULAS

In this paper, a method is developed to obtain rational solutions of i ntegrable equations which include KdV, Boussinesq, KP, Ito, (1 + 1)-di mensional CDGKS, Ramani and (2 + 1)-dimensional CDGKS equations. The k ey step that we use to find rational solutions of these equations is t he use of nonlinear superposition formulae. Ail these rational solutio ns obtained for each equation are connected by a Backlund transformati on, which enables us to find other new solutions through the nonlinear superposition of rational solutions and other known solutions.