In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the H...In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the Hirota bilinear equations and τ functions of different kinds of KP hierarchies,we prove that these addition formulae are equivalent to these hierarchies.These studies show that the addition formula in the research of the integrable systems has good universality.展开更多
Electrochemical oxidation of paracetamol has been studied in the presence of malononitrile as a nucleophile in a phosphate buffer solution （0.15 tool/L, pH 7）, using cyclic voltammetric techniques. The results indic...Electrochemical oxidation of paracetamol has been studied in the presence of malononitrile as a nucleophile in a phosphate buffer solution （0.15 tool/L, pH 7）, using cyclic voltammetric techniques. The results indicated that the N-acetyl-p-benzoquinone-imine derived from paracetamol participates in a 1,4-Michael-ts, pe addition reaction with the malononitrile to form the corresponding paracetamol derivatives （6a, 7a）. The present study has led to the development of a simple, green, non-catalyst and one-pot electrochemical method with high atom economy under mild conditions.展开更多
基金Supported by the Zhejiang Provincial Natural Science Foundation under Grant No.LY15A010004the National Natural Science Foundation of China under Grant Nos.11201251,11571192+2 种基金the Natural Science Foundation of Ningbo under Grant No.2015A610157supported by the National Natural Science Foundation of China under Grant No.11271210K.C.Wong Magna Fund in Ningbo University
文摘In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the Hirota bilinear equations and τ functions of different kinds of KP hierarchies,we prove that these addition formulae are equivalent to these hierarchies.These studies show that the addition formula in the research of the integrable systems has good universality.
基金Semnan University Research Council for financial supports of this work
文摘Electrochemical oxidation of paracetamol has been studied in the presence of malononitrile as a nucleophile in a phosphate buffer solution （0.15 tool/L, pH 7）, using cyclic voltammetric techniques. The results indicated that the N-acetyl-p-benzoquinone-imine derived from paracetamol participates in a 1,4-Michael-ts, pe addition reaction with the malononitrile to form the corresponding paracetamol derivatives （6a, 7a）. The present study has led to the development of a simple, green, non-catalyst and one-pot electrochemical method with high atom economy under mild conditions.
