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国家自然科学基金(11271008): 作品数：22被引量：21H指数：3; 导出分析报告; 相关作者：夏铁成魏含玉杨迪佟丽宁刘银龙更多>>; 相关机构：上海大学周口师范学院郑州航空工业管理学院南佛罗里达大学更多>>; 相关期刊：《Annals of Applied Mathematics》《物理学报》《工程数学学报》《Chinese Physics B》更多>>; 相关主题：HIERARCHYEQUATIONFRACTIONAL非线性HAMILTONIAN_STRUCTURE更多>>; 相关领域：理学自动化与计算机技术文化科学更多>>

The Hamiltonian Structures and Algebro-geometric Solution of the Generalized Kaup-Newell Soliton Equations: 《Chinese Quarterly Journal of Mathematics》2019年第2期209-220,共12页WEI Han-yu PI Guo-mei; Supported by the Natural Science Foundation of China(Grant Nos.11547175,11271008);Supported by the Science and Technology Department of Henan Province(No.182102310978);Supported by the Aid Project for the Mainstay Young Teachers in Henan Provincial Institutions of Higher Education of China(Grant Nos.2017GGJS145,2014GGJS-195); Staring from a new spectral problem,a hierarchy of the generalized Kaup-Newell soliton equations is derived.By employing the trace identity their Hamiltonian structures are also generated.Then,the generalized Kaup-New...; 关键词：SOLITON EQUATIONS HAMILTONIAN structures Algebro-geometric solutions RIEMANN THETA functions

A Riemann-Hilbert Approach to the Chen-Lee-Liu Equation on the Half Line被引量：2: 《Acta Mathematicae Applicatae Sinica》2018年第3期493-515,共23页Ning ZHANG Tie-cheng XIA En-gui FAN; Supported by the National Natural Science Foundation of China(No.11271008,61072147,11671095);SDUST Research Fund(No.2018TDJH101); In this paper, the Fokas unified method is used to analyze the initial-boundary value for the ChenLee-Liu equation i？tu ＋？xxu-i｜u2｜？xu = 0 on the half line（-∞, 0] with decaying initial value. Assuming that th...; 关键词：Chen-Lee-Liu equation initial-value problem RiemannIHilbert problem Fokas unified method jump matrix

一个新的非线性演化方程族及其拟哈密顿结构（英文）被引量：1: 《应用数学与计算数学学报》2018年第3期686-696,共11页金秋艳李倩夏铁成; supported by the National Natural Science Foundation of China(11271008,61640315);the First-Class Discipline of University in Shanghai and the Shanghai University Leading Academic Discipline Project(A.13-0101-12-004); 从3×3谱问题出发,提出了一种新的非平凡的非线性演化方程族.在迹恒等式的帮助下,构造拟哈密顿结构.其次,讨论了它的刘维尔可积性.最后,基于线性谱问题,得到了该方程族无穷多守恒律中前两个成员的守恒定律.; 关键词：刘维尔可积拟哈密顿结构守恒律

Multi-soliton solutions for the coupled modified nonlinear Schrdinger equations via Riemann–Hilbert approach被引量：3: 《Chinese Physics B》2018年第7期171-178,共8页Zhou-Zheng Kang Tie-Cheng Xia Xi Ma; Project supported by the National Natural Science Foundation of China(Grant Nos.61072147 and 11271008); The coupled modified nonlinear Schrodinger equations are under investigation in this work. Starting from analyzing the spectral problem of the Lax pair, a Riemann-Hilbert problem for the coupled modified nonlinear Sch...; 关键词：coupled modified nonlinear Schrodinger equations Riemann-Hilbert approach multi-soliton so-lutions

Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes–Vanstone elliptic curve cryptosystem被引量：2: 《Chinese Physics B》2018年第3期161-176,共16页Zeyu Liu Tiecheng Xia Jinbo Wang; Project supported by the National Natural Science Foundation of China(Grant Nos.61072147 and 11271008); We propose a new fractional two-dimensional triangle function combination discrete chaotic map(2D-TFCDM)with the discrete fractional difference.Moreover,the chaos behaviors of the proposed map are observed and the bif...; 关键词：CHAOS fractional two-dimensional triangle function combination discrete chaotic map image encryption Menezes-Vanstone elliptic curve cryptosystem

真空下一维可压的非牛顿Ellis模型解的存在唯一性被引量：3: 《应用数学与计算数学学报》2017年第1期128-142,共15页杨迪佟丽宁; 国家自然科学基金资助项目(11271008); 研究一维有界区间上的非牛顿流体.假设初始条件满足相容性条件,得到了带有Ellis粘性结构的非牛顿流解的存在唯一性.; 关键词：存在唯一性非牛顿流真空

分数阶超Broer-Kaup-Kupershmidt族及其非线性可积耦合（英文）: 《工程数学学报》2016年第4期428-440,共13页魏含玉罗林夏铁成; The National Natural Science Foundation of China(11547175,11271008,11501526);the Key Scientific Research Projects of Henan Province(16A110026); 基于超代数上的分数阶超迹恒等式,我们得到了分数阶超Broer-Kaup-Kupershmidt族及其超Hamilton结构,并且给出了分数阶超Broer-Kaup-Kupershmidt族的非线性可积耦合.本文的方法还可以应用于其它的分数阶超孤子族.; 关键词：分数阶超迹恒等式超Broer-Kaup-Kupershmidt族超Hamilton结构非线性可积耦合

非线性分数阶演化方程的新解: 《上海大学学报（自然科学版）》2016年第4期469-476,共8页刘银龙夏铁成刘泽宇; 国家自然科学基金资助项目(11271008); 通过使用改进的分数阶sub-equation方法寻求一些非线性分数阶演化方程的精确解,如分数阶Burgers方程、耦合分数阶Burgers方程与非线性分数阶Klein-Gordon方程等,并得到了这些非线性分数阶演化方程的新解.; 关键词：改进的分数阶sub-equation方法分数阶Burgers方程耦合分数阶Burgers方程分数阶Klein-Gordon方程

Exact Solutions of the Wick-typ e KdV-Burgers Equation: 《Chinese Quarterly Journal of Mathematics》2016年第2期139-146,共8页LIU Shao-qing GAO Guo-cheng; Supported by the National Natural Science Foundation of China（11271008, 61072147）; In this paper,we consider the wick-type Kd V-Burgers equation with variable coefficients. By using Tanh method with the aid of Hermite transformation, we deduce the exact solutions which include hyperbolic-exponential...; 关键词：stochastic partial differential equation Tanh method exact solutions

Self-consistent Sources and Conservation Laws for Sup er-Geng Equation Hierarchy被引量：1: 《Chinese Quarterly Journal of Mathematics》2016年第2期201-210,共10页WEI Han-yu CUI Zhong-yuan XIA Tie-cheng; Supported by the National Natural Science Foundation of China（11271008, 61072147, 11547175）; Supported by the Science and Technology Department of Henan Province（152300410230）; Supported by the Key Scientific Research Projects of Henan Province（16A110026）; Supported by the Education Department of Henan Province（13All0101）; Based on the matrix Lie super algebra and supertrace identity, the integrable super-Geng hierarchy with self-consistent is established. Furthermore, we establish the infinitely many conservation laws for the integrabl...; 关键词：supertrace identity self-consistent sources conservation laws super-Geng hierarchy

国家自然科学基金(11271008)