quadratic-form identity

Thirdly, a vector loop algebra and its extendedloop algebra are proposed, which are devoted to obtaining the Tu hierarchy andits integrable coupling. Furthermore, we apply the quadratic-form identity tothe integrable coupling system.
又通过一向量loop代数及其扩展的向量loop代数进一步研究Tu方程族，获得该方程族的一个新的可积耦合，并把二次型恒等式作用于该可积耦合系统。