-
2
-
-
45949112965
-
Coupled KdV equations with multi-Hamiltonian structures
-
[AF87]
-
[AF87] Antonowicz M and Fordy A P, Coupled KdV equations with multi-Hamiltonian structures, Phys. D 28 (1987), 345-357.
-
(1987)
Phys.D28
, pp. 345-357
-
-
Antonowicz, M.1
Fordy, A.P.2
-
3
-
-
80755134386
-
Some properties of long nonlinear waves
-
[Ben73]
-
[Ben73] Benny D J, Some properties of long nonlinear waves, Stud. Appl. Math. 52 (1973), 45-50.
-
(1973)
Stud. Appl. Math.
, vol.52
, pp. 45-50
-
-
Benny, D.J.1
-
4
-
-
21344479764
-
On the equivalence of linearization and formal symmetries as integrability tests for evolution equations
-
[Bil93]
-
[Bil93] Bilge A H, On the equivalence of linearization and formal symmetries as integrability tests for evolution equations, J. Phys. A 26, No. 24 (1993), 7511-7519.
-
(1993)
J. Phys. A
, vol.26
, Issue.24
, pp. 7511-7519
-
-
Bilge, A.H.1
-
5
-
-
0005353302
-
The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem
-
[BPT83]
-
[BPT83] Boiti M, Pempinelli F, and Tu G Z, The nonlinear evolution equations related to the Wadati-Konno-Ichikawa spectral problem, Progr. Theoret. Phys. 69, No. 1 (1983), 48-64.
-
(1983)
Progr. Theoret. Phys.
, vol.69
, Issue.1
, pp. 48-64
-
-
Boiti, M.1
Pempinelli, F.2
Tu, G.Z.3
-
6
-
-
0000769854
-
The evolution partial differential equation ut = uxxx +3(uxxu2 +3u2 xu) + 3uxu4
-
[Cal87]
-
[Cal87] Calogero F, The evolution partial differential equation ut = uxxx +3(uxxu2 +3u2 xu) + 3uxu4, J. Math. Phys. 28, No. 3 (1987), 538-555.
-
(1987)
J. Math. Phys.
, vol.28
, Issue.3
, pp. 538-555
-
-
Calogero, F.1
-
7
-
-
0002641090
-
Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
-
[CD81]
-
[CD81] Calogero F and Degasperis A Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform J. Math. Phys. 22 (1981),23-31.
-
(1981)
J. Math. Phys.
, vol.22
, pp. 23-31
-
-
Calogero, F.1
Degasperis, A.2
-
9
-
-
0009957990
-
Symmetries and a hierarchy of the general KdV equation
-
[Cho87a]
-
[Cho87a] Chou T, Symmetries and a hierarchy of the general KdV equation, J. Phys. A 20 (1987), 359-366.
-
(1987)
J. Phys. A
, vol.20
, pp. 359-366
-
-
Chou, T.1
-
10
-
-
27844541975
-
Symmetries and a hierarchy of the general modified KdV equation
-
[Cho87b]
-
[Cho87b] Chou T, Symmetries and a hierarchy of the general modified KdV equation, J. Phys. A 20 (1987), 367-374.
-
(1987)
J. Phys. A
, vol.20
, pp. 367-374
-
-
Chou, T.1
-
11
-
-
0004353803
-
On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems
-
[CLL87]
-
[CLL87] Chen H H, Lee Y C and Lin J E, On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems, Phys. D 26 (1987), 165-170.
-
(1987)
Phys. D
, vol.26
, pp. 165-170
-
-
Chen, H.H.1
Lee, Y.C.2
Lin, J.E.3
-
12
-
-
0000266052
-
Conservation laws for nonlinear evolution equations
-
[CT88]
-
[CT88] Cavalcante J A.,Tenenblat K Conservation laws for nonlinear evolution equations J. Math. Phys. 29,No. 4 ( 1988),1044-1049.
-
(1988)
J. Math. Phys.
, vol.29
, Issue.4
, pp. 1044-1049
-
-
Cavalcante, J.A.1
Tenenblat, K.2
-
14
-
-
51249181307
-
On the structure of symplectic operators and hereditary symmetries
-
[FF80]
-
[FF80] Fokas A S and Fuchssteiner B, On the structure of symplectic operators and hereditary symmetries, Lett. al Nuovo Cimento 28, No. 8 (1980), 299-303.
-
(1980)
Lett. al Nuovo Cimento
, vol.28
, Issue.8
, pp. 299-303
-
-
Fokas, A.S.1
Fuchssteiner, B.2
-
15
-
-
49049150360
-
Symplectic structures their Bäcklund transformations and hereditary symmetries
-
[FF81]
-
[FF81] Fuchssteiner B and Fokas A S, Symplectic structures, their Bäcklund transformations and hereditary symmetries, Phys. D 4 (1981), 47-60.
-
(1981)
Phys. D
, Issue.4
, pp. 47-60
-
-
Fuchssteiner, B.1
Fokas, A.S.2
-
16
-
-
0003000520
-
Integrable nonlinear Klein-Gordon equations and Toda Lattices
-
[FG80]
-
[FG80] Fordy A P and Gibbons J, Integrable nonlinear Klein-Gordon equations and Toda Lattices, Comm. Math. Phys. 77 (1980), 21-30.
-
(1980)
Comm. Math. Phys.
, vol.77
, pp. 21-30
-
-
Fordy, A.P.1
Gibbons, J.2
-
17
-
-
36749105041
-
Factorization of operators. II
-
[FG81]
-
[FG81] Fordy A P and Gibbons J, Factorization of operators. II, J. Math. Phys. 22, No. 6 (1981), 1170-1175.
-
(1981)
J. Math. Phys.
, vol.22
, Issue.6
, pp. 1170-1175
-
-
Fordy, A.P.1
Gibbons, J.2
-
18
-
-
36749121828
-
The bi-Hamiltonian structure of some nonlinear fifth- And seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
-
[FO82]
-
[FO82] Fuchssteiner B Oevel W The bi-Hamiltonian structure of some nonlinear fifth- And seventh-order differential equations and recursion formulas for their symmetries and conserved covariants J. Math. Phys. 23, No. 3 (1982), 358-363.
-
(1982)
J. Math. Phys.
, vol.23
, Issue.3
, pp. 358-363
-
-
Fuchssteiner, B.1
Oevel, W.2
-
19
-
-
36749119273
-
A symmetry approach to exactly solvable evolution equations
-
[Fok80]
-
[Fok80] Fokas A S, A symmetry approach to exactly solvable evolution equations, J. Math. Phys. 21, No. 6 (1980), 1318-1325.
-
(1980)
J. Math. Phys.
, vol.21
, Issue.6
, pp. 1318-1325
-
-
Fokas, A.S.1
-
20
-
-
0004353804
-
Computer-algebra methods for investigation of hereditary operators of higher order soliton equations
-
[FOW87]
-
[FOW87] Fuchssteiner B, Oevel W and Wiwianka W, Computer-algebra methods for investigation of hereditary operators of higher order soliton equations, Comput. Phys. Comm. 44 (1987), 47-55.
-
(1987)
Comput. Phys. Comm.
, vol.44
, pp. 47-55
-
-
Fuchssteiner, B.1
Oevel, W.2
Wiwianka, W.3
-
21
-
-
0001390841
-
Application of hereditary symmetries to nonlinear evolution equations
-
[Fuc79]
-
[Fuc79] Fuchssteiner B, Application of hereditary symmetries to nonlinear evolution equations, Nonlinear Anal. 3, No. 11 (1979), 849-862.
-
(1979)
Nonlinear Anal.
, vol.3
, Issue.11
, pp. 849-862
-
-
Fuchssteiner, B.1
-
22
-
-
0001218076
-
The Lie algebra structure of degenerate Hamiltonian and bi- Hamiltonian systems
-
[Fuc82]
-
[Fuc82] Fuchssteiner B, The Lie algebra structure of degenerate Hamiltonian and bi- Hamiltonian systems, Progr. Theoret. Phys. 68, No. 4 (1982), 1082-1104.
-
(1982)
Progr. Theoret. Phys.
, vol.68
, Issue.4
, pp. 1082-1104
-
-
Fuchssteiner, B.1
-
23
-
-
25044442825
-
-
[Gök98] PhD thesis, Colorado School of Mines, Golden, CO
-
[G+k98] G+kta,s Ü, Algorithmic Computation of Symmetries, Invariants and Recursion Operators for Systems of Nonlinear Evolution and Differential-Difference Equations, PhD thesis, Colorado School of Mines, Golden, CO, 1998.
-
(1998)
Algorithmic Computation of Symmetries, Invariants and Recursion Operators for Systems of Nonlinear Evolution and Differential-Difference Equations
-
-
Göktas, U.1
-
24
-
-
18944408338
-
Soliton solutions of a coupled Korteweg-de Vries equation
-
[HS81]
-
[HS81] Hirota R andSatsuma J Soliton solutions of a coupled Korteweg-de Vries equation Phys. Lett. A 85 (1981), 407-408.
-
(1981)
Phys. Lett. A
, vol.85
, pp. 407-408
-
-
Hirota, R.1
Satsuma, J.2
-
25
-
-
0004171145
-
-
[Ibr96] CRC Press, Inc, Boca Raton
-
[Ibr96] Ibragimov N H, editor, CRC Handbook of Lie Group Analysis of Differential Equations, volume 1-3. CRC Press, Inc, Boca Raton, 1996.
-
(1996)
CRC Handbook of Lie Group Analysis of Differential Equations
, vol.1-3
-
-
Ibragimov, N.H.1
-
27
-
-
0001732956
-
Symmetries and conservation laws of a coupled nonlinear wave equation
-
[Ito82]
-
[Ito82] Ito M, Symmetries and conservation laws of a coupled nonlinear wave equation, Phys. Lett. A 91 (1982), 335-338.
-
(1982)
Phys. Lett. A
, vol.91
, pp. 335-338
-
-
Ito, M.1
-
28
-
-
4644260900
-
Classification of evolution equations by conservation laws
-
[Kap82]
-
[Kap82] Kaptsov O V, Classification of evolution equations by conservation laws, Funct. Anal. Appl. 16, No, 1 (1982), 59-61.
-
(1982)
Funct. Anal. Appl.
, vol.16
, Issue.1
, pp. 59-61
-
-
Kaptsov, O.V.1
-
29
-
-
0002408905
-
On the inverse scattering problem for cubic eigenvalue problems of the class ?xxx + 6q?x + 6r?
-
[Kau80]
-
[Kau80] Kaup D J, On the inverse scattering problem for cubic eigenvalue problems of the class ?xxx + 6q?x + 6r? =, Stud. Appl. Math. 62 (1980), 189-216.
-
(1980)
Stud. Appl. Math.
, vol.62
, pp. 189-216
-
-
Kaup, D.J.1
-
30
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal and a new type of long stationary waves
-
[KdV95]
-
[KdV95] Korteweg D J andde Vries G On the change of form of long waves advancing in a rectangular canal and a new type of long stationary waves Philos. Mag. 39, No. 5 (1895),422-443.
-
(1895)
Philos. Mag.
, vol.39
, Issue.5
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
32
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
[Lax68]
-
[Lax68] Lax P D, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 467-490.
-
(1968)
Comm. Pure Appl. Math.
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
33
-
-
0001197648
-
Lie-Bäcklund symmetries for the Harry Dym equation
-
[LLS+83]
-
[LLS+83] Leo M, Leo R A, Soliani G, Solombrino L and Martina L, Lie-Bäcklund symmetries for the Harry Dym equation, Phys. Rev. D 27, No. 6 (1983), 1406-1408.
-
(1983)
Phys. Rev. D
, vol.27
, Issue.6
, pp. 1406-1408
-
-
Leo, M.1
Leo, R.A.2
Soliani, G.3
Solombrino, L.4
Martina, L.5
-
34
-
-
21344495910
-
A hierarchy of coupled Burgers systems possessing a hereditary structure
-
[Ma93]
-
[Ma93] Ma W X, A hierarchy of coupled Burgers systems possessing a hereditary structure, J. Phys. A 26, No. 22 (1993), L1169-L1174.
-
(1993)
J. Phys. A
, vol.26
, Issue.22
, pp. L1169-L1174
-
-
Ma, W.X.1
-
35
-
-
36749117832
-
A simple model of integrable Hamiltonian equation
-
[Mag78]
-
[Mag78] Magri F, A simple model of integrable Hamiltonian equation, J. Math. Phys. 19, No. 5 (1978), 1156-1162.
-
(1978)
J. Math. Phys.
, vol.19
, Issue.5
, pp. 1156-1162
-
-
Magri, F.1
-
36
-
-
0002318306
-
The symmetry approach to classification of integrable equations
-
[MSS91] Editor Zakharov V E, Springer - Berlin
-
[MSS91] Mikha?ilov A V, Shabat A B and Sokolov V V, The symmetry approach to classification of integrable equations, In What is integrability?, Editor Zakharov V E, Springer - Berlin, 1991, 115-184.
-
(1991)
What is integrability
, pp. 115-184
-
-
Mikhailov A, V.1
Shabat, A.B.2
Sokolov, V.V.3
-
39
-
-
0040737734
-
Infinitely many commuting symmetries and constants of motion in involution for explicitly time-dependent evolution equations
-
[OF84]
-
[OF84] Oevel W andFokas A S Infinitely many commuting symmetries and constants of motion in involution for explicitly time-dependent evolution equations J. Math. Phys. 25, No. 4 (1984), 918-922.
-
(1984)
J. Math. Phys.
, vol.25
, Issue.4
, pp. 918-922
-
-
Oevel, W.1
Fokas, A.S.2
-
40
-
-
36749108571
-
Evolution equations possessing infinitely symmetries
-
[Olv77]
-
[Olv77] Olver P J, Evolution equations possessing infinitely symmetries, J. Math. Phys. 18, No. 6 (1977), 1212-1215.
-
(1977)
J. Math. Phys.
, vol.18
, Issue.6
, pp. 1212-1215
-
-
Olver P, J.1
-
42
-
-
0001395372
-
A method of finding N-soliton solutions of the KdV and KdV-like equation
-
[SK74]
-
[SK74] Sawada K and Kotera T, A method of finding N-soliton solutions of the KdV and KdV-like equation, Progr. Theoret. Phys. 51 (1974), 1355-1367.
-
(1974)
Progr. Theoret. Phys.
, vol.51
, pp. 1355-1367
-
-
Sawada, K.1
Kotera, T.2
-
43
-
-
0035423333
-
Integrable systems and their recursion operators
-
[SW01a]
-
[SW01a] Sanders J A and Wang J P, Integrable systems and their recursion operators, Nonlinear Anal. 47, No. 8 (2001), 5213-5240.
-
(2001)
Nonlinear Anal.
, vol.47
, Issue.8
, pp. 5213-5240
-
-
Sanders, J.A.1
Wang, J.P.2
-
44
-
-
0040755058
-
On recursion operators
-
[SW01b]
-
[SW01b] Sanders J A and Wang J P, On recursion operators, Phys. D 149, No. 1-2 (2001), 1-10.
-
(2001)
Phys. D
, vol.149
, Issue.1-2
, pp. 1-10
-
-
Sanders, J.A.1
Wang, J.P.2
-
45
-
-
0004305941
-
Nonlocal symmetries and recursion operators of the Landau-Lifshitz equation
-
[vBK91]
-
[vBK91] van Bemmelen T andKersten P Nonlocal symmetries and recursion operators of the Landau-Lifshitz equation J. Math. Phys. 32,No. 7 (1991), 1709-1716.
-
(1991)
J. Math. Phys.
, vol.32
, Issue.7
, pp. 1709-1716
-
-
Van Bemmelen, T.1
Kersten, P.2
-
47
-
-
0001888807
-
Complete integrability of a modified vector derivative nonlinear Schrödinger equation
-
[WHV95]
-
[WHV95] Willox R, Hereman W and Verheest F, Complete integrability of a modified vector derivative nonlinear Schrödinger equation, Phys. Scripta 52 (1995), 21-26.
-
(1995)
Phys. Scripta
, vol.52
, pp. 21-26
-
-
Willox, R.1
Hereman, W.2
Verheest, F.3
-
48
-
-
77950251516
-
New integrable nonlinear evolution equations
-
[WKI79]
-
[WKI79] Wadati M, Konno K and Ichikawa Y H, New integrable nonlinear evolution equations, J. Phys. Soc. Japan 47, No. 5 (1979), 1698-1700.
-
(1979)
J. Phys. Soc. Japan
, vol.47
, Issue.5
, pp. 1698-1700
-
-
Wadati, M.1
Konno, K.2
Ichikawa, Y.H.3
-
49
-
-
0040970927
-
Symmetries and integrability of the cylindrical Korteweg-de Vries equation
-
[ZC86]
-
[ZC86] Zhu G C andChen H H Symmetries and integrability of the cylindrical Korteweg-de Vries equation J. Math. Phys. 27,No. 1 ( 1986), 100-103.
-
(1986)
J. Math. Phys.
, vol.27
, Issue.1
, pp. 100-103
-
-
Zhu, G.C.1
Chen, H.H.2
-
50
-
-
0001363058
-
Klein-Gordon equations with a nontrivial group Soviet
-
[ZS79]
-
[ZS79] Zhiber A V and Shabat A B Klein-Gordon equations with a nontrivial group Soviet Phys. Dokl. 24 (1979), 607-609.
-
(1979)
Phys. Dokl.
, vol.24
, pp. 607-609
-
-
Zhiber, A.V.1
Shabat, A.B.2
-
51
-
-
0013261972
-
Exactly integrable hyperbolic equations of Liouville type
-
[ZS01]
-
[ZS01] Zhiber A V and Sokolov V V, Exactly integrable hyperbolic equations of Liouville type, Uspihi mat. nauk 56, No. 1 (2001), 63-106.
-
(2001)
Uspihi Mat. Nauk
, vol.56
, Issue.1
, pp. 63-106
-
-
Zhiber, A.V.1
Sokolov, V.V.2
|