近期，文理学院朱佐农教授与合作者在国际期刊Journal of the Physical Society of Japan发表题为Integrability and Darboux Transformation of a Four-component Volterra Lattice Equation的研究成果，内容摘要如下：

A four-component Volterra (fc-Volterra) lattice hierarchy is proposed from a 4 × 4 matrix spectral problem. Through the continuous limit, the first member of the fc-Volterra lattice hierarchy yields the generalized coupled KdV equation, which has important physical applications. We construct the Darboux transformation (DT) and exact solutions for the fc-Volterra lattice equation, including soliton solution, periodic solution, periodic-exponential interaction solution, rational-periodic interaction solution, and rational-exponential interaction solution. Furthermore, we present the continuous limit for the linear spectral problem and soliton solutions of the fc-Volterra lattice equation, considering spatial step tends to zero.

论文地址：https://doi.org/10.7566/JPSJ.93.104001