A multi-component semi-discrete nonlinear integrable system associated with the relevant third-order auxiliary linear problem is claimed to be the prototype system for several reduced integrable systems formulated in terms of true dynamical field variables. The main conservation laws related to the prototype system are found in the framework of generalized recurrent approach. The two-fold Darboux–Bäcklund dressing technique as applied to the integration of prototype system is developed in details. The novel reduced complex-valued nonlinear integrable system embracing three coupled dynamical subsystems on a quasi-one-dimensional lattice is proposed and its concise Lagrangian and Hamiltonian representations are written down. The essentially nontrivial couplings between the two complex-valued Toda-like subsystems are shown to be mediated by the intermediate subsystem both in their kinetic and potential parts. The explicit multi-component solution of a modulated pulson type related to the reduced integrable nonlinear ternary system is presented and analyzed.

一种与相关的三阶辅助线性问题相关的多分量半离散非线性可积系统，据称是用于根据真实动力场变量制定的几种简化可积系统的原型系统。与原型系统有关的主要守恒定律可在广义递归方法的框架中找到。详细介绍了将两种Darboux-Bäcklund修整技术应用于原型系统的集成。提出了一种在准一维晶格上包含三个耦合动力学子系统的新型简化复数值非线性可积系统，并写下了其简洁的拉格朗日和汉密尔顿表示。两个复杂值的Toda样的子系统之间的本质上无关紧要的耦合被显示为由中间子系统在它们的动力学部分和潜在部分中介导的。提出并分析了与简化的可积非线性三元系统有关的调制脉冲子类型的显式多分量解。