Backlund Transformations for the Degasperis-Procesi Equation

摘要

We consider the Backlund transformation for the Degasperis-Procesi (DP) equation. Using the reciprocal transformation and the associated DP equation, we construct the Backlund transformation for the DP equation involving both dependent and independent variables. We also obtain the corresponding nonlinear superposition, which we use together with the Backlund transformation to derive some soliton solutions of the DP equation.