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一类广义Riccati型方程及其可积性判据的推广

A New Generalized Riccati-type Equation and the Spread of its Integrability Criterion

  • 摘要: 通过变量变换的方法, 把一类广义 Riccati 型方程及其可积性判据加以推广, 并充分利用有关参数的可变性揭示该结果与现有 Riccati 方程可积性间的关系, 扩大了 Riccati 方程的可积性范围.

     

    Abstract: The variable transformation method was used to spread the generalized Riccati-type Equation and its integrability criterion. And the variability of the parameters was used to elucidate the relationship between the results and some known ones, which extended the integrability range of the Riccati-type Equation.

     

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