In this paper, the Hirota bilinear equation of the constrained modified KP hierarchy is expressed as the vacuum expectation values of Clifford operators by using the free fermions method of mKP hierarchy. Then we mainly use the Boson-Fermion correspondence to solve the Hirota bilinear equation of the k-constrained mKP hierarchy. Further, by choosing special group elements in GL∞, the corresponding rational and soliton solutions are given.

中文翻译：

---

受约束的 mKP 层次结构的 Boson-Fermion 对应解

本文利用mKP层次的自由费米子方法，将约束修正KP层次的Hirota双线性方程表示为Clifford算子的真空期望值。然后我们主要用Boson-Fermion对应来求解k-约束mKP层次的Hirota双线性方程。进一步，通过选择GL∞中的特殊群元素，给出了相应的有理解和孤子解。