Bilinear Backlund transformation for the KdV equation with a source

Abstract

A bilinear Backlund transformation for the KdV equation with a source is obtained by using the bilinear transformation method. Superposition formulae for solutions are then constructed which satisfy Bianchi's exchange property and it is shown that they have a simple structure when they are written in the bilinear forms. The inverse scattering transform for the equation is also derived from the Backlund transformation.

Identifiers

DOI

10.1088/0305-4470/24/6/005

Citations and references