Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, N-fold Darboux transformation and explicit exact solutions
Yuan Shen, Bo Tian, Tian-Yu Zhou, Xiao-Tian Gao
Topics & Concepts
Conservation lawHierarchyNonlinear systemLax pairMathematicsSolitonDifferential equationBreatherTransformation (genetics)Darboux integralMathematical analysisPhysicsIntegrable systemLawQuantum mechanicsGeometryPolitical scienceChemistryBiochemistryCurvatureGeneNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies