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Darboux Transformation and Explicit Solutions of a Couple Lattice Equation including the Discrete Nonlinear Schroedinger Equation

机译:包含离散非线性Schroedinger方程的耦合格子方程的Darboux变换和显式解

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This study mainly considers the DT of a generalized integrable couple lattice equation including the discrete nonlinear Schrodihger equation. Based on the Lax pair for Eq. (1), a DT has been established. Explicit solutions for Eq. (1) have been derived by applying the resulting DT. Structure plots have been drawn for better understanding those derived solutions, which might be helpful to understand some physical processes in optics.
机译:本研究主要考虑包含离散非线性Schrodihger方程的广义可积偶晶格方程的DT。基于等式的Lax对。 (1),已经建立了DT。方程式的显式解决方案。 (1)是通过应用结果DT导出的。绘制结构图是为了更好地理解那些导出的解决方案,这可能有助于理解光学中的某些物理过程。

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