Matrix Lie Algebras and Integrable Couplings
被引量：8
Matrix Lie Algebras and Integrable Couplings
基金
The project supported by National Natural Science Foundation of China under Grant No. 10471139
参考文献15
-
1W.X. Ma and B. Fuchssteiner, Chaos, Solitons and Fractals 7 (1996) 1227.
-
2W.X. Ma, Methods Appl, Anal. 7 (2000) 21.
-
3W.X. Ma and B. Fuchssteiner, Phys. Lett. A 213 (1996)49.
-
4W.X. Ma, Phys. Lett. A 316 (2003) 72.
-
5F.K. Guo and Y.F. Zhang, Acta Phys. Sin. 51 (2002) 951(in Chinese).
-
6E.G. Fan and Y.F. Zhang, Chaos, Solitons and Fractals 25 (2005) 425.
-
7F.K.Guo and Y.F. Zhang, J. Math. Phys. 44 (2003) 5793.
-
8Y.F. Zhang, Chaos, Solitons and Fractals 21 (2004) 305.
-
9Y.F. Zhang, Phys. Lett. A 310 (2003) 19.
-
10Y.F. Zhang and X.X. Xu, Chaos, Solitons and Fractals 21 (2004) 445.
同被引文献45
-
1夏铁成,汪宏,张玉峰.The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system[J].Chinese Physics B,2005,14(2):247-250. 被引量：1
-
2杨洪祥,徐西祥.A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy[J].Chinese Physics B,2005,14(5):869-874. 被引量：1
-
3张玉峰,闫庆友,董焕河.一个高维loop代数及其应用[J].数学学报（中文版）,2006,49(5):1133-1144. 被引量：5
-
4张玉峰,张鸿庆.两个高维loop代数及应用[J].数学学报（中文版）,2006,49(6):1287-1296. 被引量：5
-
5夏铁成,尤福财.Multi-component Dirac equation hierarchy and its multi-component integrable couplings system[J].Chinese Physics B,2007,16(3):605-610. 被引量：8
-
6ZHANG E TANG.A class of normal transformation of the eigenvalue problems[J].Journal of University of Science and Technology of China,1983:54.
-
7LI Yi-shen,CHEN Deng-yuan.Transformation operators of nonlinear evolution equations[J].Acta Mathematica Sinica,1986,29(1):127.
-
8LI Yi-shen.Three kinds of Darboux transformation for the evolution equations which connect with AKNS eigenvalue problem[J].Acta Mathematica Sinica,New Series,1987,3(2):143.
-
9ZHANG Yu-feng,WANG Yan.A higher-dimensional Lie algebra and its decomposedsubalgebras[J].Phys Lett A,2006,360:92.
-
10FAN En-gui Integrable evolution systems based on Gerdjikov-Ivanov equation,bi-Hamihonian structure,finite-dimensional integrable systems and N-fold Darboux transformation[J].J Math Phys,2000,41(11):7769.
引证文献8
-
1张玉峰,李艳.Gerdjikov-Ivanon(GI)方程族与其一类扩展可积系统[J].洛阳大学学报,2007,22(4):1-4.
-
2张玉峰,郭福奎.AKNS-KN孤子方程族的可积耦合与Hamilton结构[J].数学学报（中文版）,2008,51(5):889-900. 被引量：4
-
3赵晶,齐丽娟.一个不含谱参数的谱变换[J].辽宁师范大学学报（自然科学版）,2010,33(2):146-151.
-
4夏铁成,张登朋,特木尔朝鲁.带有自相容源的屠族新可积耦合[J].数学物理学报（A辑）,2012,32(5):941-949. 被引量：1
-
5魏含玉,夏铁成.超Guo族的自相容源和守恒律[J].数学物理学报（A辑）,2013,33(6):1133-1141. 被引量：1
-
6郭秀荣,胡美燕.两个可积系统及其约化[J].数学物理学报（A辑）,2014,34(5):1304-1312. 被引量：1
-
7唐亚宁,王蕾.一类新的孤子族、可积耦合及其Hamiltonian结构[J].西北大学学报（自然科学版）,2014,44(5):709-714.
-
8李拔萃.一类变系数偏微分方程的精确解的求法及其计算机机械化实现（英文）[J].工程数学学报,2016,33(3):298-308. 被引量：3
二级引证文献10
-
1韩琳,冯滨鲁.关于特征值问题的规范变换[J].潍坊学院学报,2009,9(2):59-64.
-
2王燕,吕芳.一类孤立子系统的Hamilton结构及Liouville可积性[J].数学学报（中文版）,2011,54(1):15-22.
-
3柴岩.一个新的Lie代数及其扩展Lie代数与应用[J].生物数学学报,2012,27(4):704-716.
-
4常双领.一个新的Lie代数和它的应用[J].纯粹数学与应用数学,2013,29(6):627-633. 被引量：1
-
5冯莉莉,于发军.一种扩张AKNS可积方程族的方法[J].沈阳师范大学学报（自然科学版）,2016,34(3):329-332.
-
6胡贝贝,李艳,董凤娇.一类可积系统的对称约束及其双非线性化[J].滁州学院学报,2016,18(5):31-35.
-
7王娇,苏李君,秦新强.基于变分法对一类非线性扩散方程解析解研究[J].应用数学学报,2018,41(4):447-460. 被引量：2
-
8李拔萃.Konopelchenko-Dubrovsky方程新的精确解及其计算机机械化实现[J].唐山师范学院学报,2017,39(5):31-34.
-
9魏含玉,夏铁成,胡贝贝,张燕.一个新的可积广义超孤子族及其自相容源、守恒律[J].数学物理学报（A辑）,2020,40(1):187-199.
-
10李娜,赵娜.有限元方法求解椭圆型偏微分方程数值解的可行性分析[J].科技通报,2018,0(6):12-14. 被引量：2
-
1YAN Qing-You QI Jian-Xun.Two Kinds of New Lie Algebras for Producing Integrable Couplings[J].Communications in Theoretical Physics,2006,46(2X):203-208.
-
2ZHANG Yu-Feng,FAN En-Gui.Characteristic Numbers of Matrix Lie Algebras[J].Communications in Theoretical Physics,2008,49(4):845-850. 被引量：1
-
3DONG Huan-He,SONG Ming,WANG Xue-Lei,LI Jian-Jun.A New Integrable Lattice Hierarchy and Its Two Discrete Integrable Couplings[J].Communications in Theoretical Physics,2008,49(5):1114-1118. 被引量：1
-
4GUO Fu-Kui ZHANG Yu-Feng.Integrable Coupling of KN Hierarchy and Its Hamiltonian Structure[J].Communications in Theoretical Physics,2006,45(5):799-801.
-
5GAO Ji-Hua,ZHAN Meng.Periodic Windows in Weakly Coupled Map Lattices[J].Communications in Theoretical Physics,2008,49(3):669-672.
-
6ZHANG Yu-Feng,DONG Huang-He,Honwah Tam.Lie Algebras Associated with Group U（n）[J].Communications in Theoretical Physics,2007,48(2X):215-226.
-
7LI Jun-Gang ZOU Jian CAI Jin-Fang SHAO Bin.Entanglement of Non-symmetric Two Atomic Qubits Induced by a Coherent State Field[J].Communications in Theoretical Physics,2006,45(1):67-70.
-
8庞朝阳,李玉良.Dynamics of Genuine Three-Qubit Entanglement in Ising Spin Systems[J].Chinese Physics Letters,2006,23(12):3145-3147.
-
9LU Xin-Biao,LI Xiang,WANG xiao-Fan.Synchronization in Triangled Complex Networks[J].Communications in Theoretical Physics,2006,45(5):955-960.
-
10F. Lépine B. Baguenard B. Concina M. A. Lebeault C. Bordas.Delayed Ionization and Delayed Detachment in Molecules and Clusters[J].Chinese Journal of Chemical Physics,2009,22(2):162-170. 被引量：1
