메뉴 건너뛰기




Volumn 35, Issue 9, 2002, Pages 2249-2262

Lie point symmetries and commuting flows for equations on lattices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037040846     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/9/314     Document Type: Article
Times cited : (17)

References (32)
  • 1
    • 0000474920 scopus 로고
    • Factorizable lie symmetries and the linearization of difference equations
    • Byrnes G B, Sahadevan R and Quispel G R W 1995 Factorizable Lie symmetries and the linearization of difference equations Nonlinearity 8 443-59
    • (1995) Nonlinearity , vol.8 , pp. 443-459
    • Byrnes, G.B.1    Sahadevan, R.2    Quispel, G.R.W.3
  • 3
    • 21844501952 scopus 로고
    • Finite difference models entirely inheriting the continuous symmetry of the original differential equations
    • Dorodnitsyn V A 1994 Finite difference models entirely inheriting the continuous symmetry of the original differential equations Int. J. Mod. Phys. C 5 723-34
    • (1994) Int. J. Mod. Phys. C , vol.5 , pp. 723-734
    • Dorodnitsyn, V.A.1
  • 4
    • 0034342220 scopus 로고    scopus 로고
    • Lie group classification of second order difference equations
    • Dorodnitsyn V, Kozlov R and Winternitz P 2000 Lie group classification of second order difference equations J. Math. Phys. 41 480-504
    • (2000) J. Math. Phys. , vol.41 , pp. 480-504
    • Dorodnitsyn, V.1    Kozlov, R.2    Winternitz, P.3
  • 6
    • 21844515167 scopus 로고    scopus 로고
    • Lie symmetries of finite difference equations
    • Floreanini R and Vinet L 1996 Lie symmetries of finite difference equations J. Math. Phys. 36 7024-42
    • (1996) J. Math. Phys. , vol.36 , pp. 7024-7042
    • Floreanini, R.1    Vinet, L.2
  • 7
    • 0033242313 scopus 로고    scopus 로고
    • Symmetries of discrete dynamical systems involving two species
    • Gomez-Ullate D, Lafortune S and Winternitz P 1999 Symmetries of discrete dynamical systems involving two species J. Math. Phys. 40 2782-804
    • (1999) J. Math. Phys. , vol.40 , pp. 2782-2804
    • Gomez-Ullate, D.1    Lafortune, S.2    Winternitz, P.3
  • 10
    • 0035937683 scopus 로고    scopus 로고
    • Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation
    • Hernandez Heredero R, Levi D, Rodriguez M A and Winternitz P 2001 Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation J. Phys. A: Math. Gen. 34 2459-65
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2459-2465
    • Hernandez Heredero, R.1    Levi, D.2    Rodriguez, M.A.3    Winternitz, P.4
  • 11
    • 0034737219 scopus 로고    scopus 로고
    • Point symmetries of generalized Toda field theories I
    • Lafortune S, Martina L and Winternitz P 2000 Point symmetries of generalized Toda field theories I J. Phys. A: Math. Gen. 33 2419-35. Lafortune S, Martina L and Winternitz P 2000 Point symmetries of generalized Toda field theories II J. Phys. A: Math. Gen. 33 6431-46
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 2419-2435
    • Lafortune, S.1    Martina, L.2    Winternitz, P.3
  • 12
    • 0034664391 scopus 로고    scopus 로고
    • Point symmetries of generalized Toda field theories II
    • Lafortune S, Martina L and Winternitz P 2000 Point symmetries of generalized Toda field theories I J. Phys. A: Math. Gen. 33 2419-35. Lafortune S, Martina L and Winternitz P 2000 Point symmetries of generalized Toda field theories II J. Phys. A: Math. Gen. 33 6431-46
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 6431-6446
    • Lafortune, S.1    Martina, L.2    Winternitz, P.3
  • 13
    • 0035824410 scopus 로고    scopus 로고
    • Integrable hierarchies of nonlinear difference-difference equations and symmetries
    • Levi D and Martina L 2001 Integrable hierarchies of nonlinear difference-difference equations and symmetries J. Phys. A: Math. Gen. 34 10357-68
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 10357-10368
    • Levi, D.1    Martina, L.2
  • 14
    • 0035896477 scopus 로고    scopus 로고
    • Discrete derivatives and symmetries of difference equations
    • Levi D, Negro J and del Olmo M A 2001 Discrete derivatives and symmetries of difference equations J. Phys. A: Math. Gen. 34 2023-30
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2023-2030
    • Levi, D.1    Negro, J.2    Del Olmo, M.A.3
  • 15
    • 0035610360 scopus 로고    scopus 로고
    • Lie symmetries of difference equations
    • Levi D, Negro J and del Olmo M A 2001 Lie symmetries of difference equations Czech J. Phys. 51 341-8
    • (2001) Czech J. Phys. , vol.51 , pp. 341-348
    • Levi, D.1    Negro, J.2    Del Olmo, M.A.3
  • 16
    • 0040374236 scopus 로고
    • Symmetry group of partial differential equations and of differential difference equations: The Toda lattice versus the Korteweg-de Vries equation
    • Levi D and Rodriguez M A 1992 Symmetry group of partial differential equations and of differential difference equations: the Toda lattice versus the Korteweg-de Vries equation J. Phys. A: Math. Gen. 25 L975-9
    • (1992) J. Phys. A: Math. Gen. , vol.25
    • Levi, D.1    Rodriguez, M.A.2
  • 17
    • 0039756619 scopus 로고    scopus 로고
    • Lie symmetries for integrable evolution equations on the lattice
    • Levi D and Rodriguez M A 1999 Lie symmetries for integrable evolution equations on the lattice J. Phys. A: Math. Gen. 32 8303-16
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 8303-8316
    • Levi, D.1    Rodriguez, M.A.2
  • 18
    • 0034364789 scopus 로고    scopus 로고
    • Lie point symmetries of difference equations and lattices
    • Levi D, Tremblay S and Winternitz P 2000 Lie point symmetries of difference equations and lattices J. Phys. A: Math. Gen. 33 8507-24
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 8507-8524
    • Levi, D.1    Tremblay, S.2    Winternitz, P.3
  • 19
    • 0035834607 scopus 로고    scopus 로고
    • Point symmetries of multidimensional nonlinear partial difference equations
    • Levi D, Tremblay S and Winternitz P 2001 Point symmetries of multidimensional nonlinear partial difference equations J. Phys. A: Math. Gen. 34 9507-24
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 9507-9524
    • Levi, D.1    Tremblay, S.2    Winternitz, P.3
  • 21
    • 0000284251 scopus 로고
    • Continuous symmetries of discrete equations
    • Levi D and Winternitz P 1991 Continuous symmetries of discrete equations Phys. Lett. A 152 335-8
    • (1991) Phys. Lett. A , vol.152 , pp. 335-338
    • Levi, D.1    Winternitz, P.2
  • 22
    • 0007064916 scopus 로고
    • Symmetries and conditional symmetries of differential difference equations
    • Levi D and Winternitz P 1993 Symmetries and conditional symmetries of differential difference equations J. Math. Phys. 34 3713-30
    • (1993) J. Math. Phys. , vol.34 , pp. 3713-3730
    • Levi, D.1    Winternitz, P.2
  • 23
    • 0030515403 scopus 로고    scopus 로고
    • Symmetries of discrete dynamical systems
    • Levi D and Winternitz P 1996 Symmetries of discrete dynamical systems J. Math. Phys. 37 5551-76
    • (1996) J. Math. Phys. , vol.37 , pp. 5551-5576
    • Levi, D.1    Winternitz, P.2
  • 24
    • 0031530864 scopus 로고    scopus 로고
    • Conditions for the existence of higher symmetries of evolutionary equations on the lattice
    • Levi D and Yamilov R 1997 Conditions for the existence of higher symmetries of evolutionary equations on the lattice J. Math. Phys. 38 6648-74
    • (1997) J. Math. Phys. , vol.38 , pp. 6648-6674
    • Levi, D.1    Yamilov, R.2
  • 25
    • 0033607398 scopus 로고    scopus 로고
    • Dilation symmetries and equations on the lattice
    • Levi D and Yamilov R 1999 Dilation symmetries and equations on the lattice J. Phys. A: Math. Gen. 32 8317-23
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 8317-8323
    • Levi, D.1    Yamilov, R.2
  • 26
    • 0034616893 scopus 로고    scopus 로고
    • Non-point integrable symmetries for equations on the lattice
    • Levi D and Yamilov R 2000 Non-point integrable symmetries for equations on the lattice J. Phys. A: Math. Gen. 33 4809-23
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 4809-4823
    • Levi, D.1    Yamilov, R.2
  • 27
    • 0035914288 scopus 로고    scopus 로고
    • On the integrability of a new discrete nonlinear Schrödinger equation
    • Levi D and Yamilov R 2001 On the integrability of a new discrete nonlinear Schrödinger equation J. Phys. A: Math. Gen. 34 L553-62
    • (2001) J. Phys. A: Math. Gen. , vol.34
    • Levi, D.1    Yamilov, R.2
  • 28
    • 0001156359 scopus 로고
    • Canonical structure and symmetries for discrete systems
    • Maeda S 1980 Canonical structure and symmetries for discrete systems Math. Japon. 25 405-20
    • (1980) Math. Japon. , vol.25 , pp. 405-420
    • Maeda, S.1
  • 30
    • 0001467787 scopus 로고
    • Continuous symmetries of differential-difference equations: The Kac-van Moerbeke equation and Painlevé reduction
    • Quispel G R W, Capel H W and Sahadevan R 1992 Continuous symmetries of differential-difference equations: the Kac-van Moerbeke equation and Painlevé reduction Phys. Lett. A 170 379-83
    • (1992) Phys. Lett. A , vol.170 , pp. 379-383
    • Quispel, G.R.W.1    Capel, H.W.2    Sahadevan, R.3
  • 31
    • 4243673219 scopus 로고
    • Lie symmetries and the integration of difference equations
    • Quispel G R W and Sahadevan R 1993 Lie symmetries and the integration of difference equations Phys. Lett. A 184 64-70
    • (1993) Phys. Lett. A , vol.184 , pp. 64-70
    • Quispel, G.R.W.1    Sahadevan, R.2
  • 32
    • 0030736791 scopus 로고    scopus 로고
    • Lie symmetries and linearisation of the QRT mapping
    • Sahadevan R and Quispel G R W 1997 Lie symmetries and linearisation of the QRT mapping Physica A 234 775-84
    • (1997) Physica A , vol.234 , pp. 775-784
    • Sahadevan, R.1    Quispel, G.R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.