A few of discrete integrable coupling systems(DICSs) of previous papers are linear discrete integrable couplings(LDICS). We take a special matrix Lie algebra system(non-semisimple) to construct the Lax pairs, and establish a method for deriving the nonlinear discrete integrable coupling systems(NDICS). From the Lax pairs of the generalized Toda(G-Toda) spectral problem, we can derive a novel NDICS, which is a real NDICS. For the obtained lattice integrable coupling equation, we establish a Darboux transformation (DT) with 4 × 4 Lax pairs, and apply the gauge transformation to a specific equation, then the explicit solutions of the lattice integrable coupling equation are given, which contains discrete soliton solution, breather solution and rogue wave solution. Furthermore, we can derive the discrete explicit solutions with free parameters to depict their dynamic behaviors.

中文翻译：

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广义耦合Toda孤子层次的一些新颖孤子解，通气解和Darboux变换。

先前论文中的一些离散可积耦合系统（DICS）是线性离散可积耦合（LDICS）。我们采用特殊的矩阵李代数系统（非半简单）构造Lax对，并建立了导出非线性离散可积耦合系统（NDICS）的方法。从广义Toda（G-Toda）光谱问题的Lax对，我们可以得出新颖的NDICS，它是真正的NDICS。对于获得的晶格可积耦合方程，我们建立了一个具有4×4 Lax对的Darboux变换（DT），并将规范转换应用于特定方程，然后给出了包含离散孤子的晶格可积耦合方程的显式解。解决方案，通气解决方案和流浪解决方案。此外，