李传忠

2026

Construction of extended multi-component discrete integrable hierarchies associated with a kind of 4N-dimensional Lie algebra

Physica A: Statistical Mechanics and its Applications

DOI

2026

Classification of soliton solutions of the modified Boussinesq equation

Journal of Mathematical Physics

DOI

2026

Discrete Painlevé I, biconfluent Heun equations associated with a perturbed Gaussian unitary ensemble

Integral Transforms and Special Functions

DOI

2026

Solutions on an elliptic function background of the complex modified KdV equation

Physica D Nonlinear Phenomena

DOI

2026

Regular line-solitons of modified KP system and vertex operators

Theoretical and Mathematical Physics

DOI

2026

Регулярные линейные солитоны модифицированной системы Кадомцева-Петвиашвили и вершинные операторы

Теоретическая и математическая физика

DOI

2025

Non-crossing Permutations for the KP Solitons Under the Gel’fand-Dickey Reductions and the Vertex Operators

Communications in Mathematical Physics

DOI

2025

Tau functions of the UC hierarchy as partition functions of matrix models

Theoretical and mathematical physics

DOI

2025

Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation

Journal of nonlinear science

DOI

2025

Orthogonal polynomials: From Heun equations to Painlevé equations

Journal of Mathematical Physics

DOI

2025

Multi-component discrete integrable hierarchy and its Hamiltonian structure

Mathematical physics, analysis and geometry

DOI

2025

Additional symmetries for the N=2 supersymmetric Two-Boson hierarchy and the multi-component generalization

Journal of Geometry and Physics

DOI

2025

Multiparameter Schur polynomials, universal characters and symplectic extensions as tau functions of integrable systems

Journal of Mathematical Physics

DOI

2025

On solutions of the coupled DKP equation

The European Physical Journal Plus

DOI

2025

Soliton solutions of the three-component q-deformed KP equation

International Journal of Geometric Methods in Modern Physics

DOI

2025

Gauge transformations between reduced $$q$$-KP and reduced $$q$$-mKP hierarchies

Theoretical and Mathematical Physics

DOI

2024

Multiple mixed solutions of the nonlocal sine-Gordon equation

The European Physical Journal C

DOI

2024

Line-solitons of a three-component KP equation

Nonlinear dynamics

DOI

2024

Solutions of a three-component modified Kadomtsev–Petviashvili equation

Nonlinear dynamics

DOI

2024

Gauge transformations between three-component KP and three-component mKP hierarchies

Theoretical and mathematical physics

DOI

2024

Mach-type soliton solution of a coupled KP equation

Nonlinear dynamics

DOI

2024

Reductions on B-type universal character hierarchy

Physica D Nonlinear Phenomena

DOI

2024

Калибровочные преобразования между редуцированными $q$-иерархиями Кадомцева-Петвиашвили и модифицированного уравнения Кадомцева-Петвиашвили

Теоретическая и математическая физика

DOI

2024

О некоммутативных модифицированных системах Кадомцева-Петвиашвили

Теоретическая и математическая физика

DOI

2024

On noncommutative modified KP systems

Theoretical and Mathematical Physics

DOI

2024

Калибровочное преобразование между трехкомпонентными иерархиями уравнения Кадомцева-Петвиашвили и модифицированного уравнения Кадомцева-Петвиашвили

Теоретическая и математическая физика

DOI

2024

N = 2 supersymmetric extension on multi-component D type Drinfeld–Sokolov hierarchy

Physics Letters B

DOI

2024

Erratum: Multiple mixed solutions of the nonlocal sine-Gordon equation

The European Physical Journal C

DOI

2024

On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water

Chaos Solitons & Fractals

DOI

2024

Symplectic Grothendieck polynomials, universal characters and integrable systems

Physica D Nonlinear Phenomena

DOI

2023

Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble

Journal of Mathematical Physics

DOI

2023

Quantum field presentation for generalized Hall–Littlewood functions

Journal of Mathematical Physics

DOI

2023

A multi-component super integrable Dirac hierarchy

Physics Letters B

DOI

2023

On limit fractional Volterra hierarchies

Communications in Theoretical Physics

DOI

2023

Bäcklund transformations of multi-component Boussinesq and Degasperis–Procesi equations

International Journal of Geometric Methods in Modern Physics

DOI

2023

Multi-component super integrable Hamiltonian hierarchies

Physica D Nonlinear Phenomena

DOI

2023

Symmetric universal character, integrable hierarchy, and affine Yangian of gl(1)

Nuclear Physics B

DOI

2023

Exact solutions and invariant subspaces to the nonlinear dissipative–dispersive equation

Modern Physics Letters A

DOI

2023

Extensions and Generalizations of Lattice Gelfand–Dickey Hierarchy

Mathematical Physics Analysis and Geometry

DOI

2023

Virasoro symmetries of the constrained dispersionless mKP hierarchy

Physics Letters B

DOI

2023

Virasoro symmetries of the dispersionless coupled constrained KP hierarchy

International Journal of Modern Physics A

DOI

2023

A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies

Theoretical and Mathematical Physics

DOI

2023

Об одном типе многокомпонентных неизоспектральных иерархий обобщенного нелинейного уравнения Шредингера

Теоретическая и математическая физика

DOI

2023

Boson–Fermion correspondence of the multi-component constrained mKP hierarchy

International Journal of Mathematics

DOI

2023

On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential

International Journal of Geometric Methods in Modern Physics

DOI

2023

Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies

Journal of Geometry and Physics

DOI

2023

On the higher-order Heisenberg spin system with quintic terms in self-consistent potential

International Journal of Modern Physics B

DOI

2023

Littlewood-Richardson rule for generalized Schur Q-functions

Algebras and Representation Theory

DOI

2023

Coupled KP and BKP hierarchies and the corresponding symmetric functions

Theoretical and Mathematical Physics

DOI

2023

Связанные иерархии КП и BКП и соответствующие симметрические функции

Теоретическая и математическая физика

DOI

2023

Симметрии Вирасоро связанной рациональной редуцированной двумерной иерархии Тоды

Теоретическая и математическая физика

DOI

2023

Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy

Theoretical and Mathematical Physics

DOI

2023

Extended plethystic vertex operators and plethystic universal characters

Theoretical and Mathematical Physics

DOI

2023

Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential

International Journal of Geometric Methods in Modern Physics

DOI

2023

Interaction structures of multi localized waves within the Kadomtsev–Petviashvili I equation

Physica D Nonlinear Phenomena

DOI

2023

Обобщенные плетистические вершинные операторы и плетистические универсальные характеры

Теоретическая и математическая физика

DOI

2023

Supersymmetric Quantum Spin Chains and Modified Universal Characters

Journal of Statistical Physics

DOI

2022

Multiparameter universal characters of B-type and integrable hierarchy

Journal of Mathematical Physics

DOI

2022

Integrable nonlinear perturbed hierarchies of NLS-mKdV equation and soliton solutions

Electronic Journal of Differential Equations

DOI

2022

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues

Journal of Mathematical Physics

DOI

2022

Supersymmetric Schur Q-functions and Super BKP Hierarchy

Advances in Applied Clifford Algebras

DOI

2022

Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian

Theoretical and Mathematical Physics

DOI

2022

Симметрии многокомпонентной $q$-иерархии Кадомцева-Петвиашвили на грассманиане

Теоретическая и математическая физика

DOI

2022

Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell–Bloch system

International Journal of Geometric Methods in Modern Physics

DOI

2022

Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies

International Journal of Nonlinear Sciences and Numerical Simulation

DOI

2022

Darboux transformation of two novel two-component generalized complex short pulse equations

Reports on Mathematical Physics

DOI

2022

Gauge transformations of two-component KP and mKP hierarchies

Applied Mathematics Letters

DOI

2022

Lie Symmetry Analysis and Conservation Laws for the (2 + 1)-Dimensional Dispersionless B-Type Kadomtsev–Petviashvili Equation

Journal of Nonlinear Mathematical Physics

DOI

2022

Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations

Journal of Geometry and Physics

DOI

2022

Symplectic and supersymmetric schur Q-functions, universal characters and integrable hierarchies

Analysis and Mathematical Physics

DOI

2022

Hom-Lie Algebras and a Coupled Toda Equation with Indefinite Matrices

Journal of Nonlinear Mathematical Physics

DOI

2022

Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy

Mathematical Methods in the Applied Sciences

DOI

2022

Polynomial Tau Functions of Symplectic KP and Multi-component Symplectic KP Hierarchies

Annals of Combinatorics

DOI

2022

Multi-component universal character hierarchy and its polynomial tau-functions

Physica D Nonlinear Phenomena

DOI

2021

非交换无色散Gelfand-Dickey方程族的附加对称

《宁波大学学报(理工版)》

2021

Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations

Studies in Applied Mathematics

DOI

2021

Painlevé V for a Jacobi unitary ensemble with random singularities

Applied Mathematics Letters

DOI

2021

Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies

Journal of Mathematical Physics

DOI

2021

On modified $$B$$KP systems and generalizations

Theoretical and Mathematical Physics

DOI

2021

О модифицированных системах $B$КП и их обобщениях

Теоретическая и математическая физика

DOI

2021

Multi-component supersymmetric D type Drinfeld–Sokolov hierarchy and its Virasoro symmetry

Physics Letters B

DOI

2021

Line-solitons of a two-component KP hierarchy

Chaos An Interdisciplinary Journal of Nonlinear Science

DOI

2021

Virasoro symmetry of the constrained multi-component q-KP and q-MKP hierarchies

Reports on Mathematical Physics

DOI

2021

Plethystic B-type KP and universal character hierarchies

Journal of Algebraic Combinatorics

DOI

2021

On the multicomponent weakly interacted generalized (3 + 1)‐dimensional Kadomtsev–Petviashvili equation

Mathematical Methods in the Applied Sciences

DOI

2021

N = 2 supersymmetric BKP hierarchy with SW1+∞ symmetries and its multicomponent generalization

Physics Letters B

DOI

2021

$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters

Theoretical and Mathematical Physics

DOI

2021

$q$-Деформированные универсальные характеры и расширение иерархии решеточных $q$-деформированных универсальных характеров

Теоретическая и математическая физика

DOI

2021

Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy

International Journal of Geometric Methods in Modern Physics

DOI

2021

SW1+∞ symmetries of N = 2 supersymmetric CKP hierarchy and its multicomponent generalization

Nuclear Physics B

DOI

2021

Multi-component Toda lattice in centro-affine $${\mathbb R}^n$$

Theoretical and Mathematical Physics

DOI

2021

Многокомпонентная цепочка Тоды в центро-аффинном пространстве ${\mathbb R}^n$

Теоретическая и математическая физика

DOI

2021

Symmetries of the multi-component Boussinesq hierarchy

International Journal of Modern Physics A

DOI

2021

Two-component symplectic universal characters and integrable hierarchies

International Journal of Mathematics

DOI

2021

Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation

Communications in Theoretical Physics

DOI

2021

Extensions on two-component BKP and D type Drinfeld–Sokolov hierarchies

Analysis and Mathematical Physics

DOI

2021

Darboux transformations of the supersymmetric constrained B and C type KP hierarchies

Journal of Geometry and Physics

DOI

2021

Finite-dimensional tau functions of the universal character hierarchy

Theoretical and Mathematical Physics

DOI

2021

Конечномерные тау-функции иерархии универсальных характеров

Теоретическая и математическая физика

DOI

2021

Symmetries of theq-NKdV hierarchy

International Journal of Modern Physics A

DOI

2020

Depletable Energy, Intermediate Goods Quality, and Sustainable Growth

Emerging Markets Finance And Trade，Vol. 560, No. 130

DOI

2020

Symmetries of supersymmetric CKP hierarchy and its reduction

Journal of Geometry and Physics

DOI

2020

Ghost Symmetries and Multi-fold Darboux Transformations of Extended Toda Hierarchy

Chinese Annals of Mathematics Series B

DOI

2018

On the Generalized Heisenberg Supermagnetic Model

Communications in Theoretical Physics

2017

MBIUS-TODA HIERARCHY AND ITS INTEGRABILITY

Acta Mathematica Scientia

2016

Addition Formulae of Discrete KP,q-KP and Two-Component BKP Systems

Communications in Theoretical Physics

2014

Block(or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld–Sokolov Hierarchy

Communications in Theoretical Physics

2013

Nonlinear waves of the Hirota and the Maxwell Bloch equations in nonlinear optics

Chinese Physics B

2013

BKP与CKP可积系列的递归算子

《中国科学:数学》

2013

Darboux Transformation and Solutions of the Two-Component Hirota-Maxwell-Bloch System

Chinese Physics Letters

2011

THE RECURSION OPERATOR FOR A CONSTRAINED CKP HIERARCHY

Acta Mathematica Scientia

2025

Exact $S$-duality Map for Rigid Surface Operators

arXiv preprint

2025

BiHom-Lie brackets and the Toda equation

arXiv preprint

DOI

2024

Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)

arXiv preprint

2024

Hopf link invariants and integrable hierarchies

arXiv preprint

DOI

2024

Painlev\'{E} IV, Bi-Confluent Heun Equation and the Hankel Determinants Associated with a Discontinuous Gue

SSRN Electronic Journal

DOI

2022

Generation of higher-dimensional isospectral-nonisospectral integrable hierarchies associated with a new class of higher-dimensional column-vector loop algebras

arXiv preprint

2020

Extensions of the finite nonperiodic Toda lattices with indefinite metrics

arXiv preprint

DOI

2020

Virasoro symmetries of Multi-Component Gelfand-Dickey systems

arXiv preprint

DOI

2020

The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight

arXiv preprint

DOI

2019

$π$-type Fermions and $π$-type KP hierarchy

arXiv preprint

2019

A strongly coupled extended Toda hierarchy and its Virasoro symmetry

arXiv preprint

DOI

2019

Symmetries and reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies

arXiv preprint

DOI

2019

Quantum torus symmetries of multicomponent modified KP hierarchy and reductions

arXiv preprint

DOI

2018

Inner Product in Highest-Weight Representation

arXiv preprint

2017

Universal Character, Phase Model and Topological Strings on $\mathbb C^3$

arXiv preprint

DOI

2017

Rogue waves of the Frobenius nonlinear Schrödinger equation

arXiv preprint

2017

Bäcklund transformations of $Z_n$-Sine-Gordon systems

arXiv preprint

DOI

2017

Quantum torus algebras and B(C) type Toda systems

arXiv preprint

DOI

2017

Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy

arXiv preprint

DOI

2017

Coupled Hall-Littlewood functions, vertex operators and the $q$-boson model

arXiv preprint

2017

Quantum Torus symmetries of the CKP and multi-component CKP hierarchies

arXiv preprint

DOI

2017

Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries

arXiv preprint

DOI

2017

Rigid Surface Operator and Symbol Invariant of Partitions

arXiv preprint

DOI

2017

Invariants of rigid surface operators

arXiv preprint

2016

Multi-fold Darboux transformations of the extended bigraded Toda hierarchy

arXiv preprint

DOI

2016

Gauge transformation and symmetries of the commutative multi-component BKP hierarchy

arXiv preprint

DOI

2016

Constrained lattice-field hierarchies and Toda system with Block symmetry

arXiv preprint

DOI

2015

Supersymmetric BKP systems and their symmetries

arXiv preprint

DOI

2015

Sato theory on the $q$-Toda hierarchy and its extension

arXiv preprint

DOI

2015

Virasoro symmetry of the constrained multi-component KP hierarchy and its integrable discretization

arXiv preprint

DOI

2015

Rogue waves in a resonant erbium-doped fiber system with higher-order effects

arXiv preprint

DOI

2014

The extended $Z_N$-Toda hierarchy

arXiv preprint

DOI

2014

Integrability on generalized $q$-Toda equation and hierarchy

arXiv preprint

2014

On the extended multi-component Toda hierarchy

arXiv preprint

DOI

2013

On Rogue wave in the Kundu-DNLS equation

arXiv preprint

DOI

2013

Quantum Torus symmetry of the KP, KdV and BKP hierarchies

arXiv preprint

DOI

2013

Additional symmetry of the modified extended Toda hierarchy

arXiv preprint

2012

Regular solution and lattice miura transformation of bigraded Toda Hierarchy

arXiv preprint

2012

Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

arXiv preprint

2012

Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies

arXiv preprint

DOI

2012

Ghost symmetry of the discrete KP hierarchy

arXiv preprint

2012

Block type symmetry of bigraded Toda Hierarchy

arXiv preprint

DOI

2012

Dispersionless bigraded Toda Hierarchy and its additional symmetry

arXiv preprint

DOI

2012

Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

arXiv preprint

DOI

2012

The Recursion operators of the BKP hierarchy and the CKP Hierarchy

arXiv preprint

DOI

2010

Solutions of bigraded Toda hierarchy

arXiv preprint

DOI

2009

Tau function and Hirota bilinear equations for the Extended bigraded Toda Hierarchy

arXiv preprint

DOI

2025

Grothendieck universal character and polynomial tau functions for UC hierarchy

Journal of Algebraic Combinatorics

DOI