On Discretizations of the Vector Nonlinear Schrödinger Equation

  title={On Discretizations of the Vector Nonlinear Schr{\"o}dinger Equation},
  author={Mark J. Ablowitz and Yasuhiro Ohta and A. David Trubatch},
Two discretizations of the vector nonlinear Schrödinger (NLS) equation are studied. One of these discretizations, referred to as the symmetric system, is a natural vector extension of the scalar integrable discrete NLS equation. The other discretization, referred to as the asymmetric system, has an associated linear scattering pair. General formulae for soliton solutions of the asymmetric system are presented. Formulae for a constrained class of solutions of the symmetric system may be obtained… CONTINUE READING
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