Generalized Bigraded Toda Hierarchy

Yue Liu, Xingjie Yan, Jinbiao Wang +1

Bigraded Toda hierarchy $L_1^M(n)=L_2^N(n)$ is generalized to $L_1^M(n)=L_2^N(n)+{\sum }_{j\in \mathbb{Z}}{\sum }_{i=1}^m{q}_n^{(i)}{\Lambda }^j{r}_{n+1}^{(i)}$, which is the analogue of the famou…