Darboux-dressing transformation, conservation laws and bound-state solutions of the vector Lakshmanan–Porsezian–Daniel equation
Jin-Jin Mao, Wenguang Cheng, Linfei Shi, Tianzhou Xu
Abstract
The vector Lakshmanan–Porsezian–Daniel (vLPD) equations are mainly studied in this paper. The Darboux-dressing transformation (DDT) and infinitely-many conservation laws of the vLPD equations are constructed by the Lax pair. Furthermore, one soliton and bound-state solitons solutions of the vLPD equations are obtained by the DDT method. The obtained graphs can directly reflect the dynamic behavior of the aforementioned solutions.
Topics & Concepts
Conservation lawTransformation (genetics)State (computer science)SolitonState vectorApplied mathematicsPhysicsMathematicsMathematical analysisClassical mechanicsNonlinear systemQuantum mechanicsAlgorithmBiochemistryChemistryGeneNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models