Defect formation and transport in a hydrogen-bonded system is studied via a two-sublattice soliton-bearing one-dimensional model. Our two component model completes and extends our previous study (Tchakoutio Nguetcho and Kofane, 2007; Tchakoutio Nguetcho et al., 2008; Li et al., 2015) made on the dynamics of defects in a quasi-one-dimensional nonlinear model of complex hydrogen bond systems. The inclusion of dipole–dipole interactions provides a new class of differential equations possessing several key parameters and many singular straight lines. In order to evaluate and measure the variations effects on each interaction parameter, we use dynamic system methods to first say what are really the key parameters of the system, and then discuss on phase portraits bifurcations to derive a variety of exotic solutions corresponding to phase trajectories under different parameter conditions. Among the rich variety of soliton patterns obtained, we focus our attention to kink (antikink) solutions. The response of these solitonic defects to an externally applied DC electric field makes this system an excellent model to describe the protonic conductivity in complex hydrogen-bonded networks. Therefore, we evaluate analytically the effect of dipole–dipole interactions on the mobility of the kink–antikink pair and the specific electrical-conductivity of the protons transfer.

通过含有两个亚晶格孤子的一维模型研究了氢键系统中缺陷的形成和传输。我们的两分量模型完善并扩展了我们之前的研究（Tchakoutio Nguetcho 和 Kofane，2007 年；Tchakoutio Nguetcho 等人，2008 年；Li 等人，2015 年）在复杂的准一维非线性模型中的缺陷动力学氢键系统。偶极-偶极相互作用的包含提供了一类具有几个关键参数和许多奇异直线的新微分方程。为了评估和测量每个交互参数的变化影响，我们使用动态系统方法首先说明系统的真正关键参数是什么，然后讨论相图分岔，以推导出与不同参数条件下的相轨迹相对应的各种奇异解。在获得的丰富多样的孤子模式中，我们将注意力集中在扭结（反扭结）解决方案上。这些孤子缺陷对外部施加的直流电场的响应使该系统成为描述复杂氢键网络中质子电导率的极好模型。因此，我们分析评估偶极-偶极相互作用对扭结-反扭结对的迁移率和质子转移的特定电导率的影响。这些孤子缺陷对外部施加的直流电场的响应使该系统成为描述复杂氢键网络中质子电导率的极好模型。因此，我们分析评估偶极-偶极相互作用对扭结-反扭结对的迁移率和质子转移的特定电导率的影响。这些孤子缺陷对外部施加的直流电场的响应使该系统成为描述复杂氢键网络中质子电导率的极好模型。因此，我们分析评估偶极-偶极相互作用对扭结-反扭结对的迁移率和质子转移的特定电导率的影响。