论文标题
均质的darboux多项式和概括性集成ode系统
Homogeneous Darboux polynomials and generalising integrable ODE systems
论文作者
论文摘要
我们表明,任何ODES系统都可以在保留其同质的Darboux多项式时进行修改。我们采用结果来概括可集成的Lotka-Volterra系统的层次结构。
We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems.