Bäcklund Transformations for the Degasperis-Procesi Equation
Hui Mao, Gaihua Wang
Abstract
We consider the Bäcklund transformation for the Degasperis-Procesi (DP) equation. Using the reciprocal transformation and the associated DP equation, we construct the Bäcklund transformation for the DP equation involving both dependent and independent variables. We also obtain the corresponding nonlinear superposition, which we use together with the Bäcklund transformation to derive some soliton solutions of the DP equation.
Topics & Concepts
Transformation (genetics)MathematicsReciprocalSuperposition principleMathematical analysisMathematical physicsPhilosophyLinguisticsGeneBiochemistryChemistryNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies