Generalized Bilinear Differential Equations
Generalized Bilinear Differential Equations
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发表时间：
2012
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通讯作者：
W. Ma
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作者：
W. Ma
我们通过推广 Hirota 双线性算子引入一种双线性微分方程，并探讨线性叠加原理何时适用于所得的广义双线性微分方程。与使用权重的算法一起，计算了广义双线性微分方程的两个示例，以阐明所提出的构造具有解的线性子空间的双线性微分方程的一般方案。
We introduce a kind of bilinear differential equations by generalizing Hirota bilinear operators, and explore when the linear superposition principle can apply to the resulting generalized bilinear differential equations. Together with an algorithm using weights, two examples of generalized bilinear differential equations are computed to shed light on the presented general scheme for constructing bilinear differential equations which possess linear subspaces of solutions.