SOME NEW RESULTS ON THE BLASZAK-MARCINIAK LATTICE - BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA

The so-called Blaszak-Marciniak lattice is considered. By the dependen t variable transformation, the Blaszak-Marciniak lattice is transforme d into a quart-linear form. By introducing an auxiliary variable, we f urther transform it into the bilinear form. A corresponding Backlund t ransformation is obtained. Furthermore, a nonlinear superposition form ula is proved rigorously. As an application of the obtained results, s oliton solutions are derived. (C) 1998 American Institute of Physics.