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<p>The authors introduce the coupled discrete 2-component nonlinear Schrödinger equation with <i>M</i>-solutions and prove that this type of discrete equation is an integrable discretization of the integrable Manakov equation of mixed type. Moreover, the integrable discrete equation of 1-d Schrödinger flow to the pseudo-projective 2-space <i>U</i>(2, 1)/<i>U</i>(1, 1) × <i>U</i>(1) is shown to be a geometric realization of the integrable discrete Manakov equation of mixed type.</p>

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On Geometric Realization of the Discrete Manakov Equation of Mixed Type

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Qing Ding,
  • Wenyu Sun

摘要

The authors introduce the coupled discrete 2-component nonlinear Schrödinger equation with M-solutions and prove that this type of discrete equation is an integrable discretization of the integrable Manakov equation of mixed type. Moreover, the integrable discrete equation of 1-d Schrödinger flow to the pseudo-projective 2-space U(2, 1)/U(1, 1) × U(1) is shown to be a geometric realization of the integrable discrete Manakov equation of mixed type.