论文标题
新的2个一阶非线耦合的新的可溶解系统
New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations
论文作者
论文摘要
在此简短的交流中，我们引入了一个相当简单的自主系统，该系统由2个非线性耦合的一阶普通微分方程（ODE）引入，其初始值问题可以通过代数操作明确解决。它的ODE具有2个右侧，这是第一度的2个同质多项式的比率除以第二度的均匀多项式。该模型仅具有4个任意参数。我们还报告了其等级变体，其中包含4个因变量中的4个非线性耦合的一阶ODE，具有9个任意参数。
In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations. Its ODEs feature 2 right-hand sides which are the ratios of 2 homogeneous polynomials of first degree divided by the same homogeneous polynomial of second degree. The model features only 4 arbitrary parameters. We also report its isochronous variant featuring 4 nonlinearly-coupled first-order ODEs in 4 dependent variables, featuring 9 arbitrary parameters.
