标题： 通过柯西-黎曼方程求解多项式微分方程组的符号解。对动力学微分方程的应用 显示英文标题

标题： Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations

摘要： 化学动力学的微分方程是非线性（多项式）微分方程组，因此它们的解通常不能以符号形式找到。在这里，我们提供了一种基于柯西-黎曼方程求解动力学微分方程类的方法。结果表明，该方法可以用于符号求解一些不一定是动力学的多项式微分方程。 显示英文摘要

摘要： The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equations based on the Cauchy--Riemann equations. It turns out that the method can be used to symbolically solve some polynomial differential equations that are not necessarily kinetic, as well.