In this article,we establish exact solutions for the variable-coefficient Fisher-type equation.The solutions are obtained by the modified sine-cosine method and ansatz method.The soliton and periodic solutions and top...In this article,we establish exact solutions for the variable-coefficient Fisher-type equation.The solutions are obtained by the modified sine-cosine method and ansatz method.The soliton and periodic solutions and topological as well as the singular 1-soliton solution are obtained with the aid of the ansatz method.These solutions are important for the explanation of some practical physical problems.The obtained results show that these methods provide a powerful mathematical tool for solving nonlinear equations with variable coefficients.展开更多
提出了一种核Fisher特征提取以及模糊模式识别的传感器故障诊断方法。提取传感器信号波形时域特征和频域特征构成初始特征,使用核Fisher方法对初始特征进行非线性变换增强信号特征。然后使用模糊数学方法建立了传感器故障诊断模型,通过...提出了一种核Fisher特征提取以及模糊模式识别的传感器故障诊断方法。提取传感器信号波形时域特征和频域特征构成初始特征,使用核Fisher方法对初始特征进行非线性变换增强信号特征。然后使用模糊数学方法建立了传感器故障诊断模型,通过使用隶属度函数获取特征向量对各状态的隶属度,运用最大隶属原则对特征向量进行定性分类,判定传感器状态。将该方法应用到FDT/DTM(Field Device Tool/Device Type Manager)设备管理系统中,对NCS4000水循环控制的压力传感器进行故障诊断,数值实验表明该算法具有实效性。展开更多
文摘In this article,we establish exact solutions for the variable-coefficient Fisher-type equation.The solutions are obtained by the modified sine-cosine method and ansatz method.The soliton and periodic solutions and topological as well as the singular 1-soliton solution are obtained with the aid of the ansatz method.These solutions are important for the explanation of some practical physical problems.The obtained results show that these methods provide a powerful mathematical tool for solving nonlinear equations with variable coefficients.
文摘提出了一种核Fisher特征提取以及模糊模式识别的传感器故障诊断方法。提取传感器信号波形时域特征和频域特征构成初始特征,使用核Fisher方法对初始特征进行非线性变换增强信号特征。然后使用模糊数学方法建立了传感器故障诊断模型,通过使用隶属度函数获取特征向量对各状态的隶属度,运用最大隶属原则对特征向量进行定性分类,判定传感器状态。将该方法应用到FDT/DTM(Field Device Tool/Device Type Manager)设备管理系统中,对NCS4000水循环控制的压力传感器进行故障诊断,数值实验表明该算法具有实效性。
