摘要
本文给出了量子变形KdV方程的量子变形Gelfand-Dikii势的精确递推公式,并给出了用无穷小变形参数ε作一级展开的表达式,这些势与量子变形KdV的无穷多守恒流有关。
A reasonable q-deformed differential is defined. A set of operation rules is constructed for the q-deformed pseudo differential operators. The complete procedure of constructing the q-deformed KdV hierarchies is given. As an important example, we obtain the detailed structure and the infinite conservation laws of the simplest (3,2) system, i. e. the q-deformed KdV equations.
关键词
KDV方程
量子变形
G-D势
q-deformed differential,q-deformed KdV equation,q-deformed Gelfand-Dikii
