Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula

The so-called Blaszak-Marciniak lattice is considered. By the dependent variable transformation, the Blaszak-Marciniak lattice is transformed into a quart-linear form. By introducing an auxiliary variable, we further transform it into the bilinear form. A corresponding Backlund transformation is obtained. Furthermore, a nonlinear superposition formula is proved rigorously. As an application of the obtained results, soliton solutions are derived. (C) 1998 American Institute of Physics.