The regular dynamics of active particles coupled by the Morse potential with Van der Pol dissipation is studied numerically and analytically. It was found that in the system under study, stable propagation of soliton-like perturbations and two types of kink, slow and fast, is possible. It is established that parameters of slow kink are determined from the Abel equation of the first kind, and the front of fast kink is described by a second-order equation integrable in Jacobi elliptic functions. It is shown that the shape of the leading front of the soliton-like perturbation is described by a reduction of the integrable Tzitzeica equation, while the model of its trailing front is reduced to the first kind Abel equation. In a chain with fixed boundary particles, the mode of stable propagation of a kink with elastic reflection from the chain boundaries is revealed. In a chain with periodic boundary conditions, a new type of attractor is revealed in the form of soliton-like perturbations propagating from generator to absorber. It is found that in chain with random initial conditions, generators and absorbers of soliton-like perturbations appear in pairs, the number of which is proportional to the chain length.

通过莫尔斯电势与范德波尔耗散耦合的活性粒子的规则动力学进行了数值和分析研究。发现在所研究的系统中，类孤子扰动和两种类型的扭结（慢速和快速）的稳定传播是可能的。建立了慢扭结参数由第一类阿贝尔方程确定，快扭结的前沿由可在雅可比椭圆函数中积分的二阶方程描述。结果表明，类孤子扰动的前缘形状由可积Tzitzeica方程的简化描述，而其后缘模型则简化为第一类Abel方程。在具有固定边界粒子的链中，揭示了具有来自链边界的弹性反射的扭结的稳定传播模式。在具有周期性边界条件的链中，以从发生器传播到吸收器的类孤子扰动的形式揭示了一种新型吸引子。发现在初始条件随机的链中，类孤子扰动的发生器和吸收器成对出现，数量与链长成正比。