Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach
Nianhua Li, Gaihua Wang, Yonghui Kuang
Abstract
We propose a new approach for calculating multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit by combining a reciprocal transformation with the Darboux transformation of the negative flow of the Kaup–Kupershmidt hierarchy. In particular, different specifications of the soliton parameters lead to two different types of soliton solutions of the Degasperis–Procesi equation.
Topics & Concepts
Transformation (genetics)ShortwaveLimit (mathematics)SolitonHierarchyMathematicsReciprocalMathematical analysisApplied mathematicsPhysicsNonlinear systemRadiative transferQuantum mechanicsBiochemistryPhilosophyMarket economyGeneChemistryEconomicsLinguisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Differential Equations and Dynamical Systems