赵秋兰｜山东科技大学｜学者主页

2026

Dynamic behavior of Riemann problem solutions for the extended complex modified Korteweg–de Vries equation

Qiulan Zhao, Bingyu Liu, Runliang Lin, Xinyue Li

Nonlinear Dynamics

DOI

2025

Localized Wave and Dynamics Analysis in an Extended-coupling Kaup-Newell Equation

Qiulan Zhao, Saadatullah Rahimi, Xinyue Li

Journal of Nonlinear Mathematical Physics

DOI

2025

Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation

Bingshui Wang, Qiulan Zhao, Xinyue Li

Theoretical and Mathematical Physics

DOI

2025

Application of tetragonal curves theory to the 4-field Błaszak–Marciniak lattice hierarchy

Qiulan Zhao, Caixue Li, Xinyue Li, Xinyue Li

Physica D Nonlinear Phenomena

DOI

2025

Interaction wave solutions of the (2+1)-dimensional Fokas-Lenells equation

Yaxin Guan, Xinyue Li, Qiulan Zhao

Physica Scripta

DOI

2024

Binary Bargmann symmetry constraint and algebro-geometric solutions of a semidiscrete integrable hierarchy

Yaxin Guan, X. Y. Li, Qiulan Zhao

Theoretical and Mathematical Physics

DOI

2024

Evolution of dispersive shock waves to the complex modified Korteweg–de Vries equation with higher-order effects

Qian Bai, Xinyue Li, Qiulan Zhao

Chaos Solitons & Fractals

DOI

2024

Whitham modulation theory and dam-breaking problem under periodic solutions to the defocusing Hirota equation

Xinyue Li, Qian Bai, Qiulan Zhao

Theoretical and Mathematical Physics

DOI

2024

Асимптотическое поведение при больших временах и решения для связанных солитонных состояний обобщенных нелинейных уравнений Шредингера c производной

Bingshui Wang, Qiulan Zhao, Xinyue Li

Теоретическая и математическая физика

DOI

2024

On the dispersive shock waves of the defocusing Kundu–Eckhaus equation in an optical fiber

Xinyue Li, Qian Bai, Qiulan Zhao

Nonlinear Dynamics

DOI

2024

Бинарное ограничение симметрии Баргмана и алгебро-геометрические решения полудискретной интегрируемой иерархии

Yaxin Guan, X. Y. Li, Qiulan Zhao

Теоретическая и математическая физика

DOI

2024

Classification of solutions for the (2+1)-dimensional Fokas–Lenells equations based on bilinear method and Wronskian technique

Qiulan Zhao, Xuejie Zhang, Xinyue Li

Nonlinear Dynamics

DOI

2024

Symmetric structures and dynamic analysis of a (2+1)-dimensional generalized Benny-Luke equation

Jie Sun, Qiulan Zhao, Xinyue Li

Physica Scripta

DOI

2024

Step-like initial value problem and Whitham modulation in fluid dynamics to a generalized derivative nonlinear Schrödinger equation

Bingyu Liu, Qiulan Zhao, Xinyue Li

Physics of Fluids

DOI

2024

A Kundu–nonlinear Schrödinger equation: Rogue waves, breathers, and mixed interaction solutions

X Zhang, Qiulan Zhao

Chaos An Interdisciplinary Journal of Nonlinear Science

DOI

2024

Модуляционная теория Уизема и задача о разрушении плотины для периодических решений дефокусирующего уравнения Хироты

X. Y. Li, Qian Bai, Qiulan Zhao

Теоретическая и математическая физика

DOI

2023

Application of the trigonal curve to a hierarchy of generalized Toda lattices

Qiulan Zhao, Caixue Li, Xinyue Li

Theoretical and Mathematical Physics

DOI

2023

Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure

Qiulan Zhao, Caixue Li, Xinyue Li

Physica D Nonlinear Phenomena

DOI

2023

Two-component generalized nonlinear Schrödinger equations and their soliton and breather solutions

Xinyue Li, Jiale Zhao, Qiulan Zhao

Physica Scripta

DOI

2023

Semi-discrete local and nonlocal Frobenius-coupled complex modified Korteweg–de Vries equations

Qiulan Zhao, Hongbiao Cheng, X. Y. Li

Chinese Journal of Physics

DOI

2023

Localized wave solutions and mixed interaction structures in the AB system

Guangfu Han, Xinyue Li, Qiulan Zhao

Wave Motion

DOI

2023

Novel symmetric structures and explicit solutions to a coupled Hunter-Saxton equation

Qiulan Zhao, Huanjin Wang, Xinyue Li

Physica Scripta

DOI

2023

Degenerate and bound-state solitons of a novel Kundu-nonlinear Schrödinger equation based on generalized Darboux transformation

Qiulan Zhao, Xuejie Zhang, Fahui Liu

Optik

DOI

2023

Применение тригональной кривой к иерархии обобщенной цепочки Тоды

Qiulan Zhao, Caixue Li, X. Y. Li

Теоретическая и математическая физика

DOI

2023

Localized wave solutions of a higher-order short pulse equation

Xinyue Li, Zhixin Zhang, Qiulan Zhao

The European Physical Journal Plus

DOI

2023

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

Guangfu Han, Xinyue Li, Qiulan Zhao, Chuanzhong Li

Physica D Nonlinear Phenomena

DOI

2023

Classical Darboux transformation and exact soliton solutions of a two-component complex short pulse equation

Qiulan Zhao, Muhammad Arham Amin, Xinyue Li

AIMS Mathematics

DOI

2022

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

Qiulan Zhao, Hongbiao Cheng, X. Y. Li, Chuanzhong Li

Electronic Journal of Differential Equations

DOI

2022

Algebro-geometric Constructions of a Hierarchy of Integrable Semi-discrete Equations

Qiulan Zhao, Caixue Li, Xinyue Li

Journal of Nonlinear Mathematical Physics

DOI

2022

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

Qiulan Zhao, Huanjin Wang, X. Y. Li, Chuanzhong Li

Journal of Nonlinear Mathematical Physics

DOI

2022

Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation

Qiulan Zhao, Huijie Song, Xinyue Li

Wave Motion

DOI

2022

Multi-Component Coupled Fokas-Lenells Equations and Theirs Localized Wave Solutions

Qiulan Zhao, Huijie Song, X. Y. Li

Acta Applicandae Mathematicae

DOI

2022

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

Xinyue Li, Zhixin Zhang, Qiulan Zhao, Chuanzhong Li

Reports on Mathematical Physics

DOI

2022

Interactions of localized wave and dynamics analysis in generalized derivative nonlinear Schrödinger equation

X. Y. Li, Guangfu Han, Qiulan Zhao

Communications in Nonlinear Science and Numerical Simulation

DOI

2022

Explicit solutions of rational integrable differential-difference equations

Qiulan Zhao, Muhammad Arham Amin

Partial Differential Equations in Applied Mathematics

DOI

2022

Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation

Xinyue Li, Guangfu Han, Qiulan Zhao

Zeitschrift für angewandte Mathematik und Physik

DOI

2022

Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation

Qiulan Zhao, Hongbiao Cheng, Rui Cao

Applied Mathematics Letters

DOI

2021

Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation

Xinyue Li, Yongli Zhang, Huiqun Zhang, Qiulan Zhao

Electronic Journal of Differential Equations

DOI

2021

Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation

Qiulan Zhao, Qianqian Yang, Xiangwen Qu

Advances in Mathematical Physics

DOI

2020

Integrable asymmetric AKNS model with multi-component

Xinyue Li, Qiulan Zhao, Qianqian Yang

Communications in Nonlinear Science and Numerical Simulation

DOI

2019

Explicit solutions to a coupled integrable lattice equation

Yadong Zhong, Qiulan Zhao, Xinyue Li

Applied Mathematics Letters

DOI

2019

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics

Rui Cao, Qiulan Zhao, Gao Lin

Advances in Difference Equations

DOI

2019

Exact solutions to Euler equation and Navier–Stokes equation

Mingshuo Liu, X. Y. Li, Qiulan Zhao

Zeitschrift für angewandte Mathematik und Physik

DOI

2019

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Qianqian Yang, Qiulan Zhao, Xinyue Li

Complexity

DOI

2017

A new integrable symplectic map by the binary nonlinearization to the super AKNS system

X. Y. Li, Qiulan Zhao

Journal of Geometry and Physics

DOI

2015

A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems

X. Y. Li, Qiulan Zhao, Yuxia Li, Huanhe Dong

Journal of Mathematical Physics

DOI

2015

A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy

Qiulan Zhao, Xinyue Li

Analysis and Mathematical Physics

DOI

2015

Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem

X. Y. Li, Qiulan Zhao, Yuxia Li, Huanhe Dong

The Journal of Nonlinear Sciences and Applications

DOI

2013

Two integrable lattice hierarchies and their respective Darboux transformations

Qiulan Zhao, Xinyue Li, Fasheng Liu

Applied Mathematics and Computation

DOI

2013

A new integrable symplectic map for 4-field Blaszak–Marciniak lattice equations

X. Y. Li, Qiulan Zhao, Yuxia Li

Communications in Nonlinear Science and Numerical Simulation

DOI

2013

Bi-Integrable Couplings of a Nonsemisimple Lie Algebra by Toda Lattice Hierarchy

Xinyue Li, Qiulan Zhao, Yuxia Li, Yuxia Li

Reports on Mathematical Physics

DOI

2013

Three discrete integrable coupling schemes associated with relativistic Toda lattice equation

Qiulan Zhao, X. Y. Li, Fasheng Liu

AIP conference proceedings

DOI

2013

A discrete spectral problem and associated two types of integrable coupling systems

Xinyue Li, Qiulan Zhao, Yuxia Li

AIP conference proceedings

DOI

2012

The finite-dimensional super integrable system of a super NLS-mKdV equation

Qiulan Zhao, Yuxia Li, X. Y. Li, Ye-Peng Sun

Communications in Nonlinear Science and Numerical Simulation

DOI

2010

The integrable coupling system of a 3×3 discrete matrix spectral problem

Qiulan Zhao, Xinzeng Wang

Applied Mathematics and Computation

DOI

2010

The binary nonlinearization of generalized Toda hierarchy by a special choice of parameters

Qiulan Zhao, Yuxia Li

Communications in Nonlinear Science and Numerical Simulation

DOI

2010

Hamiltonian System of New Nonlinear Lattice Equations

Qiulan Zhao, Yu Yang, Xuehua Li

Communications in Theoretical Physics

DOI

2009

The Liouville integrable systems associated with a new discrete matrix spectral problem

Qiulan Zhao, Xi-Xiang Xu, Xinyue Li

Applied Mathematics and Computation

DOI

2009

TWO SUPER-INTEGRABLE SYSTEMS AND ASSOCIATED SUPER-HAMILTONIAN STRUCTURES

Qiulan Zhao, Xinyue Li, Baiying He

Modern Physics Letters B

DOI

2009

Positive and negative integrable hierarchies, associated conservation laws and Darboux transformation

X. Y. Li, Zhang Yuan-qing, Qiulan Zhao

Journal of Computational and Applied Mathematics

DOI

2009

The Liouville integrability of integrable couplings of Volterra lattice equation

Qiulan Zhao, Xi-Xiang Xu, Xinyue Li

Communications in Nonlinear Science and Numerical Simulation

DOI

2009

New Positive and Negative Hierarchies of Integrable Differential-Difference Equations and Conservation Laws

Xinyue Li, Qiulan Zhao

Communications in Theoretical Physics

DOI

2008

具有Liouville可积的非线性微分-差分方程族及其守恒律

赵秋兰，李欣越

《青岛大学学报(自然科学版)》

2008

一族离散可积系统及其Hamilton结构

李玉青，赵秋兰

《鲁东大学学报(自然科学版)》

2008

The Darboux transformation associated with two-parameter lattice soliton equation

X. Y. Li, Qiulan Zhao

Communications in Nonlinear Science and Numerical Simulation

DOI

2008

THE INTEGRABLE PROPERTY OF LOTKA–VOLTERRA TYPE DISCRETE NONLINEAR LATTICE SOLITON SYSTEMS

X. Y. Li, Xi-Xiang Xu, Qiulan Zhao

Modern Physics Letters B

DOI

2008

Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem

Xinyue Li, Xi-Xiang Xu, Qiulan Zhao

Physics Letters A

DOI

2008

A Family of New Discrete Generalized Hamiltonian Integrable Systems and Integrable Coupling Systems

Qiulan Zhao

Journal of Sichuan Normal University

2008

A Hierarchy of Discrete Integrable Systems and Its Hamilton Structure

Qiulan Zhao

Ludong University Journal

2007

基于离散的刘维尔可积系统族及其可积耦合

李欣越，赵秋兰，李玉青

《青岛大学学报(自然科学版)》

精选作品

期刊论文

Dynamic behavior of Riemann problem solutions for the extended complex modified Korteweg–de Vries equation

Localized Wave and Dynamics Analysis in an Extended-coupling Kaup-Newell Equation

Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation

Application of tetragonal curves theory to the 4-field Błaszak–Marciniak lattice hierarchy

Interaction wave solutions of the (2+1)-dimensional Fokas-Lenells equation

Binary Bargmann symmetry constraint and algebro-geometric solutions of a semidiscrete integrable hierarchy

Evolution of dispersive shock waves to the complex modified Korteweg–de Vries equation with higher-order effects

Whitham modulation theory and dam-breaking problem under periodic solutions to the defocusing Hirota equation

Асимптотическое поведение при больших временах и решения для связанных солитонных состояний обобщенных нелинейных уравнений Шредингера c производной

On the dispersive shock waves of the defocusing Kundu–Eckhaus equation in an optical fiber

Бинарное ограничение симметрии Баргмана и алгебро-геометрические решения полудискретной интегрируемой иерархии

Classification of solutions for the (2+1)-dimensional Fokas–Lenells equations based on bilinear method and Wronskian technique

Symmetric structures and dynamic analysis of a (2+1)-dimensional generalized Benny-Luke equation

Step-like initial value problem and Whitham modulation in fluid dynamics to a generalized derivative nonlinear Schrödinger equation

A Kundu–nonlinear Schrödinger equation: Rogue waves, breathers, and mixed interaction solutions

Модуляционная теория Уизема и задача о разрушении плотины для периодических решений дефокусирующего уравнения Хироты

Application of the trigonal curve to a hierarchy of generalized Toda lattices

Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure

Two-component generalized nonlinear Schrödinger equations and their soliton and breather solutions

Semi-discrete local and nonlocal Frobenius-coupled complex modified Korteweg–de Vries equations

Localized wave solutions and mixed interaction structures in the AB system

Novel symmetric structures and explicit solutions to a coupled Hunter-Saxton equation

Degenerate and bound-state solitons of a novel Kundu-nonlinear Schrödinger equation based on generalized Darboux transformation

Применение тригональной кривой к иерархии обобщенной цепочки Тоды

Localized wave solutions of a higher-order short pulse equation

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

Classical Darboux transformation and exact soliton solutions of a two-component complex short pulse equation

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

Algebro-geometric Constructions of a Hierarchy of Integrable Semi-discrete Equations

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

Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation

Multi-Component Coupled Fokas-Lenells Equations and Theirs Localized Wave Solutions

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

Interactions of localized wave and dynamics analysis in generalized derivative nonlinear Schrödinger equation

Explicit solutions of rational integrable differential-difference equations

Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation

Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation

Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation

Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation

Integrable asymmetric AKNS model with multi-component

Explicit solutions to a coupled integrable lattice equation

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics

Exact solutions to Euler equation and Navier–Stokes equation

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

A new integrable symplectic map by the binary nonlinearization to the super AKNS system

A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems

A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy

Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem

Two integrable lattice hierarchies and their respective Darboux transformations

A new integrable symplectic map for 4-field Blaszak–Marciniak lattice equations

Bi-Integrable Couplings of a Nonsemisimple Lie Algebra by Toda Lattice Hierarchy

Three discrete integrable coupling schemes associated with relativistic Toda lattice equation

A discrete spectral problem and associated two types of integrable coupling systems

The finite-dimensional super integrable system of a super NLS-mKdV equation

The integrable coupling system of a 3×3 discrete matrix spectral problem

The binary nonlinearization of generalized Toda hierarchy by a special choice of parameters

Hamiltonian System of New Nonlinear Lattice Equations

The Liouville integrable systems associated with a new discrete matrix spectral problem

TWO SUPER-INTEGRABLE SYSTEMS AND ASSOCIATED SUPER-HAMILTONIAN STRUCTURES

Positive and negative integrable hierarchies, associated conservation laws and Darboux transformation

The Liouville integrability of integrable couplings of Volterra lattice equation

New Positive and Negative Hierarchies of Integrable Differential-Difference Equations and Conservation Laws

具有Liouville可积的非线性微分-差分方程族及其守恒律

一族离散可积系统及其Hamilton结构

The Darboux transformation associated with two-parameter lattice soliton equation

THE INTEGRABLE PROPERTY OF LOTKA–VOLTERRA TYPE DISCRETE NONLINEAR LATTICE SOLITON SYSTEMS

Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem

A Family of New Discrete Generalized Hamiltonian Integrable Systems and Integrable Coupling Systems

A Hierarchy of Discrete Integrable Systems and Its Hamilton Structure

基于离散的刘维尔可积系统族及其可积耦合

预印本

The extended research for constructing three-dimensional nonlocally related partial differential equation systems

Mixed localized wave solutions of the (2+1)-dimensional Fokas-Lenells equation

研究方向