-
1
-
-
36149031112
-
A trace identity and its applications to the theory of discrete integrable systems
-
G.Z. Tu A trace identity and its applications to the theory of discrete integrable systems J. Phys. A: Math. Gen. 23 1990 3903 3922
-
(1990)
J. Phys. A: Math. Gen.
, vol.23
, pp. 3903-3922
-
-
Tu, G.Z.1
-
2
-
-
0842285885
-
A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
-
W.X. Ma, and X.X. Xu A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations J. Phys. A: Math. Gen. 37 2004 1323 1336
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, pp. 1323-1336
-
-
Ma, W.X.1
Xu, X.X.2
-
3
-
-
29644442101
-
New integrable lattice hierarchies
-
A. Pickering, and Z.N. Zhu New integrable lattice hierarchies Phys. Lett. A 349 2006 439 445
-
(2006)
Phys. Lett. A
, vol.349
, pp. 439-445
-
-
Pickering, A.1
Zhu, Z.N.2
-
4
-
-
0033438459
-
Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
-
W.X. Ma, and B. Fuchssteiner Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations J. Math. Phys. 40 1999 2400 2418
-
(1999)
J. Math. Phys.
, vol.40
, pp. 2400-2418
-
-
Ma, W.X.1
Fuchssteiner, B.2
-
5
-
-
0040082481
-
A simple scheme for generating nonisospectral flows from the zero curvature representation
-
W.X. Ma A simple scheme for generating nonisospectral flows from the zero curvature representation Phys. Lett. A 179 1993 179 185
-
(1993)
Phys. Lett. A
, vol.179
, pp. 179-185
-
-
Ma, W.X.1
-
6
-
-
34250716329
-
The (2+1)-dimensional nonisospectral relativistic Toda hierarchy related to the generalized discrete Painlev hierarchy
-
Z.N. Zhu The (2 + 1 ) -dimensional nonisospectral relativistic Toda hierarchy related to the generalized discrete Painlev hierarchy J. Phys. A: Math. Theor. 40 2007 7707 7719
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, pp. 7707-7719
-
-
Zhu, Z.N.1
-
7
-
-
0000913370
-
Integrable theory of the perturbation equations
-
W.X. Ma, and B. Fuchssteiner Integrable theory of the perturbation equations Chaos Solitons Fractals 7 1996 1227 1250
-
(1996)
Chaos Solitons Fractals
, vol.7
, pp. 1227-1250
-
-
Ma, W.X.1
Fuchssteiner, B.2
-
8
-
-
0003043248
-
Integrable couplings of soliton equations by perturbations I: A general theory and application to the KdV hierarchy
-
W.X. Ma Integrable couplings of soliton equations by perturbations I: a general theory and application to the KdV hierarchy Methods Appl. Anal. 7 2000 21 55
-
(2000)
Methods Appl. Anal.
, vol.7
, pp. 21-55
-
-
Ma, W.X.1
-
9
-
-
32144464619
-
Semi-direct sums of Lie algebras and continuous integrable couplings
-
W.X. Ma, X.X. Xu, and Y.F. Zhang Semi-direct sums of Lie algebras and continuous integrable couplings Phys. Lett. A 351 2006 125 130
-
(2006)
Phys. Lett. A
, vol.351
, pp. 125-130
-
-
Ma, W.X.1
Xu, X.X.2
Zhang, Y.F.3
-
10
-
-
33744767745
-
Semidirect sums of Lie algebras and discrete integrable couplings
-
W.X. Ma, X.X. Xu, and Y.F. Zhang Semidirect sums of Lie algebras and discrete integrable couplings J. Math. Phys. 47 2006 053501 16 pp
-
(2006)
J. Math. Phys.
, vol.47
, pp. 053501
-
-
Ma, W.X.1
Xu, X.X.2
Zhang, Y.F.3
-
11
-
-
33747173305
-
Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
-
W.X. Ma, and M. Chen Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras J. Phys. A: Math. Gen. 39 2006 10787 10801
-
(2006)
J. Phys. A: Math. Gen.
, vol.39
, pp. 10787-10801
-
-
Ma, W.X.1
Chen, M.2
-
12
-
-
77949819380
-
Variational identities and Hamiltonian structures
-
W.X. Ma Variational identities and Hamiltonian structures W.X. Ma, X.B. Hu, Q.P. Liu, Nonlinear and Modern Mathematical Physics 2010 AIP 1 27
-
(2010)
Nonlinear and Modern Mathematical Physics
, pp. 1-27
-
-
Ma, W.X.1
-
13
-
-
0035981865
-
A bi-Hamiltonian formulation for triangular systems by perturbations
-
W.X. Ma A bi-Hamiltonian formulation for triangular systems by perturbations J. Math. Phys. 43 2002 1408 1421
-
(2002)
J. Math. Phys.
, vol.43
, pp. 1408-1421
-
-
Ma, W.X.1
-
14
-
-
17544403706
-
Enlarging spectral problems to construct integrable couplings of soliton equations
-
W.X. Ma Enlarging spectral problems to construct integrable couplings of soliton equations Phys. Lett. A 316 2003 72 76
-
(2003)
Phys. Lett. A
, vol.316
, pp. 72-76
-
-
Ma, W.X.1
-
15
-
-
0141727701
-
A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
-
F.G. Guo, and Y.F. Zhang A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system Chaos Solitons Fractals 19 2004 1207 1216
-
(2004)
Chaos Solitons Fractals
, vol.19
, pp. 1207-1216
-
-
Guo, F.G.1
Zhang, Y.F.2
-
16
-
-
4544345712
-
The multi-component coupled Burgers hierarchy of soliton equations and its multi-component integrable couplings system with two arbitrary functions
-
T.C. Xia, F.J. Yu, and Y. Zhang The multi-component coupled Burgers hierarchy of soliton equations and its multi-component integrable couplings system with two arbitrary functions Physica A 343 2004 238 246
-
(2004)
Physica A
, vol.343
, pp. 238-246
-
-
Xia, T.C.1
Yu, F.J.2
Zhang, Y.3
-
17
-
-
17744367873
-
Integrable couplings of vector AKNS soliton equations
-
W.X. Ma Integrable couplings of vector AKNS soliton equations J. Math. Phys. 46 2005 033507 19 pp
-
(2005)
J. Math. Phys.
, vol.46
, pp. 033507
-
-
Ma, W.X.1
-
18
-
-
33646121510
-
A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws
-
H.Y. Ding, Y.P. Sun, and X.X. Xu A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws Chaos Solitons Fractals 30 2006 227 234
-
(2006)
Chaos Solitons Fractals
, vol.30
, pp. 227-234
-
-
Ding, H.Y.1
Sun, Y.P.2
Xu, X.X.3
-
19
-
-
72149125297
-
Variational identities and applications to Hamiltonian structures of soliton equations
-
W.X. Ma Variational identities and applications to Hamiltonian structures of soliton equations Nonlinear Anal. 71 2009 e1716 e1726
-
(2009)
Nonlinear Anal.
, vol.71
-
-
Ma, W.X.1
-
20
-
-
70449585284
-
Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures
-
X.X. Xu Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures J. Phys. A: Math. Theor. 42 2009 395201 21 pp
-
(2009)
J. Phys. A: Math. Theor.
, vol.42
, pp. 395201
-
-
Xu, X.X.1
-
21
-
-
0003069487
-
The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy
-
W.X. Ma, and B. Fuchssteiner The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy Phys. Lett. A 213 1996 49 55
-
(1996)
Phys. Lett. A
, vol.213
, pp. 49-55
-
-
Ma, W.X.1
Fuchssteiner, B.2
-
22
-
-
70349907461
-
New integrable lattice hierarchy and its integrable coupling
-
Z. Li, and H.H. Dong New integrable lattice hierarchy and its integrable coupling Internat. J. Modern Phys. B 23 2009 4791 4800
-
(2009)
Internat. J. Modern Phys. B
, vol.23
, pp. 4791-4800
-
-
Li, Z.1
Dong, H.H.2
-
23
-
-
36749037902
-
A discrete variational identity on semi-direct sums of Lie algebras
-
W.X. Ma A discrete variational identity on semi-direct sums of Lie algebras J. Phys. A: Math. Theor. 40 2007 15055 15069
-
(2007)
J. Phys. A: Math. Theor.
, vol.40
, pp. 15055-15069
-
-
Ma, W.X.1
-
24
-
-
26844478724
-
New integrable hierarchies from vertex operator representations of polynomial Lie algebras
-
P. Casati, and G. Ortenzi New integrable hierarchies from vertex operator representations of polynomial Lie algebras J. Geom. Phys. 56 2006 418 449
-
(2006)
J. Geom. Phys.
, vol.56
, pp. 418-449
-
-
Casati, P.1
Ortenzi, G.2
-
25
-
-
33750315874
-
Bcklund transformations for new integrable hierarchies related to the polynomial Lie algebra gl∞(n)
-
J. van de Leur Bcklund transformations for new integrable hierarchies related to the polynomial Lie algebra gl∞ (n ) J. Geom. Phys. 57 2007 435 447
-
(2007)
J. Geom. Phys.
, vol.57
, pp. 435-447
-
-
Van De Leur, J.1
-
26
-
-
77950905368
-
Component-trace identities for Hamiltonian structures
-
W.X. Ma, and Y. Zhang Component-trace identities for Hamiltonian structures Appl. Anal. 89 2010 457 472
-
(2010)
Appl. Anal.
, vol.89
, pp. 457-472
-
-
Ma, W.X.1
Zhang, Y.2
-
27
-
-
41949096805
-
Two integrable couplings of the Tu hierarchy and their Hamiltonian structures
-
Z. Li, and H.H. Dong Two integrable couplings of the Tu hierarchy and their Hamiltonian structures Comput. Math. Appl. 55 2008 2643 2652
-
(2008)
Comput. Math. Appl.
, vol.55
, pp. 2643-2652
-
-
Li, Z.1
Dong, H.H.2
-
28
-
-
67749114336
-
Coupling integrable couplings
-
W.X. Ma, and L. Gao Coupling integrable couplings Modern Phys. Lett. B 23 2009 1847 1860
-
(2009)
Modern Phys. Lett. B
, vol.23
, pp. 1847-1860
-
-
Ma, W.X.1
Gao, L.2
-
29
-
-
20444414882
-
Bilinear forms and Bcklund transformations of the perturbation systems
-
W.X. Ma, and W. Strampp Bilinear forms and Bcklund transformations of the perturbation systems Phys. Lett. A 341 2005 441 449
-
(2005)
Phys. Lett. A
, vol.341
, pp. 441-449
-
-
Ma, W.X.1
Strampp, W.2
-
30
-
-
0036033067
-
Adjoint symmetry constraints of multicomponent AKNS equations
-
W.X. Ma, and R.G. Zhou Adjoint symmetry constraints of multicomponent AKNS equations Chin. Ann. Math. Ser. B 23 2002 373 384
-
(2002)
Chin. Ann. Math. Ser. B
, vol.23
, pp. 373-384
-
-
Ma, W.X.1
Zhou, R.G.2
-
31
-
-
34447623208
-
A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order
-
W.X. Ma A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order Phys. Lett. A 367 2007 473 477
-
(2007)
Phys. Lett. A
, vol.367
, pp. 473-477
-
-
Ma, W.X.1
-
32
-
-
60649108444
-
Multi-component bi-Hamiltonian Dirac integrable equations
-
W.X. Ma Multi-component bi-Hamiltonian Dirac integrable equations Chaos Solitons Fractals 39 2009 282 287
-
(2009)
Chaos Solitons Fractals
, vol.39
, pp. 282-287
-
-
Ma, W.X.1
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