Abstract:
We construct a solution expressed in terms of Schur Q-functions of a strongly coupled B-type Kadomtsev–Petviashvili hierarchy. As a generalization of these functions, we introduce universal characters satisfying the bilinear equations of a new infinite-dimensional integrable system called the strongly coupled B-type universal character hierarchy.
Qianqian Yang, Chuanzhong Li, “Coupled KP and BKP hierarchies and the corresponding symmetric functions”, Theoret. and Math. Phys., 215:1 (2023), 468–494
Q. Yang, Ch. Li, “Symmetric universal character, integrable hierarchy, and affine Yangian of $\mathfrak{gl}(1)$”, Nuclear Physics B, 995 (2023), 116344
D. Li, Ch. Li, Zh. Yan, “Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies”, Journal of Geometry and Physics, 189 (2023), 104838
F. Huang, Y. Chu, Ch. Li, “Littlewood–Richardson rule for generalized Schur $Q$-functions”, Algebr. Represent. Theor., 26:6 (2023), 3143
Ch. Li, “Plethystic B-type KP and universal character hierarchies”, J. Algebr. Comb., 55:3 (2022), 691–714
Ch. Li, “Multi-component universal character hierarchy and its polynomial tau-functions”, Physica D, 432 (2022), 133166
Q. Yang, Ch. Li, “Multiparameter universal characters of B-type and integrable hierarchy”, Journal of Mathematical Physics, 63:11 (2022)
Yang Gao, Chuanzhong Li, “$q$-Universal characters and an extension of the lattice $q$-universal characters”, Theoret. and Math. Phys., 208:1 (2021), 896–911
Ch. Hu, Ch. Li, “Line-solitons of a two-component kp hierarchy”, Chaos, 31:11 (2021), 113139
Ch. Li, “Two-component symplectic universal characters and integrable hierarchies”, Int. J. Math., 32:07 (2021), 2150045
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