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上海市自然科学基金(09ZR1410800): 作品数：11被引量：25H指数：4; 导出分析报告; 相关作者：夏铁成刘大勇王雷史振华杨建生更多>>; 相关机构：上海大学更多>>; 相关期刊：《Advances in Applied Mathematics and Mechanics》《Chinese Annals of Mathematics,Series B》《Chinese Physics B》《上海大学学报（自然科学版）》更多>>; 相关主题：HIERARCHYINTEGRABLE_COUPLINGSHAMILTONIAN_STRUCTURELOOP_ALGEBRASINE更多>>; 相关领域：理学动力工程及工程热物理电子电信更多>>

分块正定矩阵极大极小特征值的界（英文）: 《应用数学与计算数学学报》2018年第3期703-706,共4页葛玉燕杨建生; supported by the National Natural Science Foundation of China(61072147);the Natural Science Foundation of Shanghai(09ZR1410800);the Shanghai Leading Academic Discipline Project(J50101); Kolotilina在研究分块Hermitian矩阵的特征值时(Kolotilina L Y. Bounds for eigenvalues of symmetric block Jacobi scaled matrices. J Math Sci, 1996, 79:1043-1047),得到了有关特征值极大值与极小值的某些界.本文进一步研究这个界...; 关键词：特征值极值分块矩阵的半带宽界正定矩阵

Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings: 《Advances in Applied Mathematics and Mechanics》2013年第5期652-670,共19页Jinghan Meng Wen-Xiu Ma; This work was supported by the Department of Mathematics and Statistics of the University of South Florida,the State Administration of Foreign Experts Affairs of China,the Natural Science Foundation of Shanghai(No.09ZR1410800);the National Natural Science Foundation of China(Nos.10971136,10831003,61072147 and 11071159);Chunhui Plan of the Ministry of Education of China.J.H.Meng and W.X.Ma/Adv.Appl.Math.Mech.,5(2013),pp.652-670669 References。; We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices,and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings.Applications are made ...; 关键词：Bi-integrable couplings non-semisimple matrix loop algebras AKNS hierarchy Hamiltonian structure SYMMETRY

Boiti-Pempinelli-Tu方程族的一个非线性可积耦合及其哈密顿结构: 《应用数学与计算数学学报》2013年第3期313-321,共9页刘关明夏铁成; 上海市自然科学基金资助项目(09ZR1410800);上海市教育委员会重点学科建设资助项目(J50101); 基于一个特殊的半单李代数,Ma等发现了一种新的构造非线性连续可积耦合的方法.运用这种扩展谱矩阵的方法得到了Boiti-Pempinelli-Tu(BPT)方程族的可积耦合.进一步地,在相应圈代数的基础上运用屠格式及二次型恒等式获得了这个非线性可积...; 关键词：非线性可积耦合二次型恒等式哈密顿结构

Loop Algebras and Bi-integrable Couplings被引量：4: 《Chinese Annals of Mathematics,Series B》2012年第2期207-224,共18页Wenxiu MA; Project supported by the State Administration of Foreign Experts Affairs of China;the National Natural Science Foundation of China (Nos.10971136,10831003,61072147,11071159);the Chunhui Plan of the Ministry of Education of China;the Innovation Project of Zhejiang Province (No.T200905);the Natural Science Foundation of Shanghai (No.09ZR1410800);the Shanghai Leading Academic Discipline Project (No.J50101); A class of non-semisimple matrix loop algebras consisting of triangular block matrices is introduced and used to generate bi-integrable couplings of soliton equations from zero curvature equations.The variational iden...; 关键词：Loop algebra Bi-integrable coupling Zero curvature equation SYMMETRY Hamiltonian structure

Binary nonlinearization of the super classical-Boussinesq hierarchy被引量：3: 《Chinese Physics B》2011年第7期13-21,共9页陶司兴王惠史会; Project supported by the National Natural Science Foundation of China (Grant Nos.61072147 and 11071159);the Natural Science Foundation of Shanghai,China (Grant No.09ZR1410800);the Science Foundation of the Key Laboratory of Mathematics Mechanization,China (Grant No.KLMM0806);the Shanghai Leading Academic Discipline Project,China (Grant No.J50101);the Key Disciplines of Shanghai Municipality of China (Grant No.S30104); The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierar...; 关键词：symmetry constraints binary nonlinearization super classical-Boussinesq hierarchy super finite-dimensional integrable Hamiltonian systems

齐次平衡法寻找广义Caudrey-Dodd-Gibbon-Kaeada方程的多孤子解被引量：9: 《应用数学与计算数学学报》2011年第2期205-212,共8页刘大勇夏铁成; 上海市自然科学基金资助项目(09ZR1410800); 利用齐次平衡法寻找Hirota变换,再通过Hirota变换将方程转化为Hirota双线性形式,进一步解释两种方法之间的联系,并得出将一些方程转化为Hirota双线性形式的一般步骤.; 关键词：齐次平衡法 Hirota双线性法多孤子解

利用符号计算求解高阶非线性演化方程的新方法: 《上海大学学报（自然科学版）》2011年第3期270-274,共5页史振华夏铁成; 国家自然科学基金资助项目(61072147;11071159);上海市自然科学基金资助项目(09ZR1410800);国家数学机械化重点实验室合作交流基金资助项目(KLMM0806);上海市教委基金资助项目(J50101);上海市重点学科建设资助项目(S30104); 用〔G′/G〕扩展法进一步求解(2+1)维Bogoyavlenskii破裂孤子方程和(3+1)维Kadom tsev-Petviashvili(K-P)方程,成功得到双曲函数解、三角函数解和有理解.结果表明,该方法对于求解高维非线性偏微分方程同样有效.; 关键词：G′/G〕扩展法符号计算 Bogoyavlenskii破裂孤子方程 Kadomtsev-Petviashvili(K-P)方程

求Nizhnik-Novikov-Veselov方程新精确解(英文)被引量：1: 《应用数学与计算数学学报》2011年第1期20-29,共10页王雷夏铁成; Project supported by the National Natural Science Foundation of China(61072147,11071159);the Natural Science Foundation of Shanghai Municipality(09ZR1410800),the Science Foundation of Key Laboratory of Mathematics Mechanization(KLMM0806);the Shanghai Leading Academic Discipline Project (J50101); 引入改进的F-广义方法,并将其应用于(2+1)维Nizhnik-Novikov-Veselov(NNV)方程.在符号计算软件的帮助下,可以得到NNV方程的许多新解.该方法用于获取包括雅可比椭圆函数解的一系列解,在数学物理中可应用于其他的非线性偏微分方程.; 关键词：F扩展方法雅可比函数解孤立波解三角函数解

New exact solutions of nonlinear differential-difference equations with symbolic computation: 《Journal of Shanghai University(English Edition)》2010年第6期415-419,共5页熊守全夏铁成; Project supported by the National Natural Science Foundation of China (Grant Nos.61072147,11071159);the Natural Science Foundation of Shanghai Municipality (Grant No.09ZR1410800);the Science Foundation of Key Laboratory of Mathematics Mechanization (Grant No.KLMM0806);the Shanghai Leading Academic Discipline Project (Grant Nos.J50101, S30104); In this paper, the Toda equation and the discrete nonlinear Schrdinger equation with a saturable nonlinearity via the discrete ＂（G′/G＂）-expansion method are researched. As a result, with the aid of the symbolic ...; 关键词：discrete （＂G′/G＂）-expansion method Toda equation discrete nonlinear Schrdinger equation saturable nonlinearity hyperbolic function solution trigonometric function solution

Two new integrable couplings of the soliton hierarchies with self-consistent sources被引量：7: 《Chinese Physics B》2010年第10期49-56,共8页夏铁成; Project supported by the Natural Science Foundation of Shanghai (Grant No. 09ZR1410800);the Science Foundation of Key Laboratory of Mathematics Mechanization (Grant No. KLMM0806);the Shanghai Leading Academic Discipline Project (Grant No. J50101);the Key Disciplines of Shanghai Municipality (Grant No. S30104);the National Natural Science Foundation of China (Grant Nos. 61072147 and 11071159); A kind of integrable coupling of soliton equations hierarchy with self-consistent sources associated with s/（4） has been presented （Yu F J and Li L 2009 Appl. Math. Comput. 207 171; Yu F J 2008 Phys. Lett. A 372 6...; 关键词：TC hierarchy generalized Burgers hierarchy self-consistent sources integrable couplings loop algebra

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