Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction
Xueru Wang, Junyi Zhu
Abstract
Abstract The coupled nonlocal nonlinear Schrödinger (NLS) equation is studied by virtue of the Dbar‐problem. Two spectral transform matrices are introduced to define two associated Dbar‐problems. The relations between the coupled nonlocal NLS potential and the solution of the Dbar‐problem are constructed. The spatial transform method is extended to obtain the coupled nonlocal NLS equation and its conservation laws. The general nonlocal reduction of the coupled nonlocal NLS equation to the nonlocal NLS equation is discussed in detail. The explicit solutions are derived.
Topics & Concepts
NLSReduction (mathematics)Nonlinear systemMathematicsMathematical analysisConservation lawMathematical physicsPhysicsQuantum mechanicsGeometryCytoplasmBiochemistryNuclear localization sequenceChemistryNonlinear Waves and SolitonsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic Systems