4 papers
Transformations of the 2-component BKP tau functions
Mengyao Chen, Jipeng Cheng, Jinbiao Wang
The 2-component BKP (2-BKP) hierarchy is an important integrable system corresponding to the infinite dimensional Lie algebras and , which contains Novikov…
One reduction of the modified Toda hierarchy
Jinbiao Wang, Wenchuang Guan, Mengyao Chen +1
The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau fun…
Toda Darboux transformations and vacuum expectation values
Chengwei Wang, Mengyao Chen, Jipeng Cheng
Determinant formulas for vacuum expectation values $\langle s+k+n-m,-s|e^{H(\mathbf{t})}β_m^{*}\cdotsβ_1^{*}β_n\cdotsβ_1g|k\rangle $ are given by using Toda Darboux transformat…
Solutions of generalized constrained discrete KP hierarchy
Xuepu Mu, Mengyao Chen, Jipeng Cheng +1
Solutions of a generalized constrained discrete KP (gcdKP) hierarchy with constraint on Lax operator , are invesitigated by Darbou…