云南高校图书馆联盟文献共享服务平台- RIEMANN-HILBERT

RIEMANN-HILBERT: 作品数：39被引量：30H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：闻国椿许克明杨硕郝三如赵柳更多>>; 相关机构：北京大学中山大学四川师范大学北京师范大学更多>>; 相关期刊：《Applied Mathematics》《Science China Mathematics》《四川师范大学学报（自然科学版）》《Communications in Theoretical Physics》更多>>; 相关基金：国家自然科学基金高等学校学科创新引智计划中国科学院科学基金中国博士后科学基金更多>>

Riemann-Hilbert approach to the higher-order Kaup-Newell equation on the half line: 《Chinese Physics B》2025年第3期231-243,共13页Hui Yu Ning Zhang; The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.Th...; 关键词：higher-order Kaup-Newell equation Fokas unified method Riemann-Hilbert problem

Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions: 《Acta Mathematicae Applicatae Sinica》2025年第1期234-251,共18页Zi-yi WANG Shou-fu TIAN Jin-jie YANG; supported by the National Natural Science Foundation of China(Nos.12371255 and 11975306);the Natural Science Foundation of Jiangsu Province(No.BK20181351);the Six Talent Peaks Project in Jiangsu Province(No.JY-059);the 333 Project in Jiangsu Province;the Fundamental Research Fund for the Central Universities(Nos.2019ZDPY07);the Graduate Innovation Program of China University of Mining and Technology(No.2022WLJCRCZL139).; The focusing modified Korteweg-de Vries(mKdV)equation with multiple high-order poles under the nonzero boundary conditions is first investigated via developing a Riemann-Hilbert(RH)approach.We begin with the asymptoti...; 关键词：Riemann-Hilbert approach focusing mKdV equation nonzero boundary conditions multiple high-order poles soliton solutions

Tzitzéica方程的Riemann-Hilbert问题研究: 《河南工程学院学报（自然科学版）》2024年第4期76-80,共5页王琳琳王辉冯雪; 河南省自然科学青年基金项目(222300420135);河南省高等学校重点科研项目(25A110012)。; Tzitzéica方程是一个3阶矩阵谱问题,它的定义域把整个复平面分为6个辐角为π/3的区域,结合伴随谱问题,得到该方程一组完整的解析函数,借助辅助特征函数,获得每一个解析区域内的Riemann-Hilbert问题。; 关键词：谱分析 RIEMANN-HILBERT问题伴随谱问题辅助特征函数

Riemann-Hilbert approach and multiple high-order pole solutions for the AB system: 《Communications in Theoretical Physics》2024年第11期33-41,共9页Wenjing Li Yi Zhang Xiaolin Yang; supported by the National Natural Science Foundation of China (No.11371326 and No.12271488)。; This article's purpose is to investigate multiple high-order pole solutions for the AB system by the Riemann-Hilbert(RH)approach.We establish the RH problem through using spectral analysis to the Lax pair.Then the RH ...; 关键词：AB system Riemann-Hilbert approach multiple high-pole solutions

High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method: 《Acta Mathematicae Applicatae Sinica》2024年第2期358-378,共21页Jin-yan ZHU Yong CHEN; supported by the National Natural Science Foundation of China(No.12175069 and No.12235007);Science and Technology Commission of Shanghai Municipality(No.21JC1402500 and No.22DZ2229014);Natural Science Foundation of Shanghai,China(No.23ZR1418100).; The Gerdjikov-Ivanov(GI)hierarchy is derived via recursion operator,in this article,we mainly investigate the third-order flow GI equation.In the framework of the Riemann-Hilbert method,the soliton matrices of the thi...; 关键词：Gerdjikov-Ivanov hierarchy third-order flow GI equation Riemann-Hilbert method high-order soliton

Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions: 《Chinese Physics B》2023年第4期130-134,共5页李莎夏铁成魏含玉; Project supported by the National Natural Science Foundation of China(Grant No.11975145);the Program for Science&Technology Innovation Talents in Universities of Henan Province,China(Grant No.22HASTIT019);the Natural Science Foundation of Henan,China(Grant No.202300410524);the Science and Technique Project of Henan,China(Grant No.212102310397);the Academic Degrees&Graduate Education Reform Project of Henan Province,China(Grant No.2021SJGLX219Y)。; We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach.The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem ...; 关键词：complex Sharma-Tasso-Olver equation Riemann-Hilbert problem spectral problem soliton solutions

Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann-Hilbert approach: 《Communications in Theoretical Physics》2022年第11期37-44,共8页Yindong Zhuang Yi Zhang Heyan Zhang Pei Xia; supported by the National Natural Science Foundation of China(No.11371326 and No.11975145)。; The purpose of the paper is to formulate multi-soliton solutions for the nonlocal Hirota equations via the Riemann-Hilbert(RH)approach.The RH problems are constructed and the zero structures are studied via performing...; 关键词：the nonlocal Hirota equation Riemann-Hilbert approach multi-soliton solutions

一类周期数据的Riemann-Hilbert分析: 《宁夏师范学院学报》2020年第10期21-26,共6页贾瑜洁刘华; 运用Hilbert核的奇异积分方程解决周期散射数据问题.该方法是通过将双调和函数与Riemann-Hilbert边值问题相结合,把不连续数据散射问题转化为一个奇异积分方程.最后,给出此方程在特定条件下的解.; 关键词：双调和函数周期Riemann边值 Hilbert核的奇异积分方程平面弹性力学

Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method: 《Open Journal of Applied Sciences》2020年第3期100-109,共10页Youzhi Tu; In this paper, we consider the initial value problem for a complete integrable equation introduced by Wadati-Konno-Ichikawa (WKI). The solution ?is reconstructed in terms of the solution of a ?matrix Riemann-Hilbert p...; 关键词：WKI EQUATION INITIAL VALUE PROBLEM Cuspon Solution RIEMANN-HILBERT PROBLEM

N-SOLITON SOLUTION OF THE KUNDU-TYPE EQUATION VIA RIEMANN-HILBERT APPROACH被引量：1: 《Acta Mathematica Scientia》2020年第1期113-126,共14页Lili WEN Ning ZHANG Engui FAN; supported by the National Science Foundation of China(11671095,51879045,11805114)。; In this article, we focus on investigating the Kundu-type equation with zero boundary condition at infinity. Based on the analytical and symmetric properties of eigenfunctions and spectral matrix of its Lax pair, a Ri...; 关键词：the Kundu-type EQUATION LAX PAIR RIEMANN-HILBERT problem SOLITON solution

RIEMANN-HILBERT