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Volumn 34, Issue 44, 2001, Pages 9507-9524

Lie symmetries of multidimensional difference equations

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EID: 0035834607     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/44/311     Document Type: Article
Times cited : (57)

References (36)
  • 1
    • 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
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 8507
    • Levi, D.1    Tremblay, S.2    Winternitz, P.3
  • 3
    • 0001156359 scopus 로고
    • Canonical structure and symmetries for discrete systems
    • Maeda S 1980 Canonical structure and symmetries for discrete systems Math. Japan 25 405
    • (1980) Math. Japan , vol.25 , pp. 405
    • Maeda, S.1
  • 4
    • 0000284251 scopus 로고
    • Continuous symmetries of discrete equations
    • Levi D and Winternitz P 1991 Continuous symmetries of discrete equations Phys. Lett. A 152 335
    • (1991) Phys. Lett. A , vol.152 , pp. 335
    • Levi, D.1    Winternitz, P.2
  • 5
    • 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
    • (1993) J. Math. Phys. , vol.34 , pp. 3713
    • Levi, D.1    Winternitz, P.2
  • 6
    • 0040374236 scopus 로고
    • Symmetry group of partial differential equations and of differential-difference equations: The Toda lattice vs the Korteweg-de Vries equations
    • Levi D and Rodriguez M A 1992 Symmetry group of partial differential equations and of differential-difference equations: the Toda lattice vs the Korteweg-de Vries equations J. Phys. A: Math. Gen. 25 975
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 975
    • Levi, D.1    Rodriguez, M.A.2
  • 7
    • 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
    • (1996) J. Math. Phys. , vol.37 , pp. 5551
    • Levi, D.1    Winternitz, P.2
  • 10
    • 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
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 8303
    • Levi, D.1    Rodriguez, M.A.2
  • 12
    • 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
    • (1999) J. Math. Phys. , vol.40 , pp. 2782
    • Gomez-Ullate, D.1    Lafortune, S.2    Winternitz, P.3
  • 14
    • 0034664391 scopus 로고    scopus 로고
    • Point symmetries of generalized Toda field theories: II. Symmetry reduction
    • Martina L, Lafortune S and Winternitz P 2000 Point symmetries of generalized Toda field theories: II. Symmetry reduction J. Phys. A: Math. Gen. 33 6431
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 6431
    • Martina, L.1    Lafortune, S.2    Winternitz, P.3
  • 15
    • 0035937683 scopus 로고    scopus 로고
    • Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation
    • Hernandez Heredero R, Levi D and Winternitz P 2001 Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation J. Phys. A: Math. Gen. 34 2459
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2459
    • Hernandez Heredero, R.1    Levi, D.2    Winternitz, P.3
  • 16
    • 0035624514 scopus 로고    scopus 로고
    • Symmetry classification of diatomic molecular chains
    • at press
    • Lafortune S, Tremblay S and Winternitz P 2001 Symmetry classification of diatomic molecular chains J. Math. Phys. 42 at press
    • (2001) J. Math. Phys. , vol.42
    • Lafortune, S.1    Tremblay, S.2    Winternitz, P.3
  • 20
    • 0001467787 scopus 로고
    • Continuous symmetries of difference equations; the Kac-van Moerbeke equation and Painlevé reduction
    • Quispel G R W, Capel H W and Sahadevan R 1992 Continuous symmetries of difference equations; the Kac-van Moerbeke equation and Painlevé reduction Phys. Lett. A 170 379
    • (1992) Phys. Lett. A , vol.170 , pp. 379
    • Quispel, G.R.W.1    Capel, H.W.2    Sahadevan, R.3
  • 21
    • 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
    • (1993) Phys. Lett. A , vol.184 , pp. 64
    • Quispel, G.R.W.1    Sahadevan, R.2
  • 22
    • 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
    • (1995) Nonlinearity , vol.8 , pp. 443
    • Byrnes, G.B.1    Sahadevan, R.2    Quispel, G.R.W.3
  • 23
    • 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
    • (1997) Physica A , vol.234 , pp. 775
    • Sahadevan, R.1    Quispel, G.R.W.2
  • 24
    • 0040639061 scopus 로고
    • Lie point symmetries of discrete versus continuous dynamical systems
    • Gaeta G 1993 Lie point symmetries of discrete versus continuous dynamical systems Phys. Lett A 178 376
    • (1993) Phys. Lett A , vol.178 , pp. 376
    • Gaeta, G.1
  • 25
    • 0039476920 scopus 로고
    • The existence of Lie symmetries for first order analytic discrete dynamical systems
    • Joshi N and Vassiliou P J 1995 The existence of Lie symmetries for first order analytic discrete dynamical systems J. Math. Anal. Appl. 195 872
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 872
    • Joshi, N.1    Vassiliou, P.J.2
  • 26
    • 33746458883 scopus 로고    scopus 로고
    • Symmetries and first integrals of ordinary difference equations
    • Hydon P E 2000 Symmetries and first integrals of ordinary difference equations Proc. R. Soc. A 456 2835
    • (2000) Proc. R. Soc. A , vol.456 , pp. 2835
    • Hydon, P.E.1
  • 29
    • 21844501952 scopus 로고
    • Finite-difference models entirely inheriting continuous symmetry of original differential equations
    • Dorodnitsyn V A 1994 Finite-difference models entirely inheriting continuous symmetry of original differential equations Int. J. Mod. Phys. C 5 723
    • (1994) Int. J. Mod. Phys. C , vol.5 , pp. 723
    • Dorodnitsyn, V.A.1
  • 30
    • 0002118286 scopus 로고    scopus 로고
    • Continuous symmetries of finite-difference evolution equations and grids
    • ed D Levi, L Vinet and P Winternitz (Providence, RI: Americal Mathematical Society)
    • Dorodnitsyn V 1996 Continuous symmetries of finite-difference evolution equations and grids Symmetries and lntegrability of Difference Equations (CRM Proceedings and Lecture Notes vol 9) ed D Levi, L Vinet and P Winternitz (Providence, RI: Americal Mathematical Society) pp 103-12 V Dorodnitsyn 1994 Invariant discrete model for the Korteweg-de Vries equation Preprint CRM-2187
    • (1996) Symmetries and Lntegrability of Difference Equations (CRM Proceedings and Lecture Notes Vol 9) , vol.9 , pp. 103-112
    • Dorodnitsyn, V.1
  • 31
    • 0013338498 scopus 로고
    • Preprint CRM-2187
    • Dorodnitsyn V 1996 Continuous symmetries of finite-difference evolution equations and grids Symmetries and lntegrability of Difference Equations (CRM Proceedings and Lecture Notes vol 9) ed D Levi, L Vinet and P Winternitz (Providence, RI: Americal Mathematical Society) pp 103-12 V Dorodnitsyn 1994 Invariant discrete model for the Korteweg-de Vries equation Preprint CRM-2187
    • (1994) Invariant Discrete Model for the Korteweg-de Vries Equation
    • Dorodnitsyn, V.1
  • 32
    • 0034342220 scopus 로고    scopus 로고
    • Lie group classification of second order ordinary difference equations
    • Dorodnitsyn V, Kozlov R and Winternitz P 2000 Lie group classification of second order ordinary difference equations J. Math. Phys. 41 480
    • (2000) J. Math. Phys. , vol.41 , pp. 480
    • Dorodnitsyn, V.1    Kozlov, R.2    Winternitz, P.3
  • 33
    • 0000561791 scopus 로고    scopus 로고
    • Strongly coupled quantum discrete Liouville theory: I. Algebraic approach and duality
    • Faddeev L D, Kashaev R M and Volkov A Yu 2001 Strongly coupled quantum discrete Liouville theory: I. Algebraic approach and duality Commun. Math. Phys. 219 219
    • (2001) Commun. Math. Phys. , vol.219 , pp. 219
    • Faddeev, L.D.1    Kashaev, R.M.2    Volkov, A.Yu.3
  • 34
    • 0009290614 scopus 로고
    • Nonlinear partial difference equations: III. Discrete sine-Gordon equation
    • Hirota R 1977 Nonlinear partial difference equations: III. Discrete sine-Gordon equation J. Phys. Soc. Japan 43 2079
    • (1977) J. Phys. Soc. Japan , vol.43 , pp. 2079
    • Hirota, R.1
  • 35
    • 0000691052 scopus 로고
    • On the integrability of a two-dimensional generalization of the Toda lattice
    • Mikhailov A V 1979 On the integrability of a two-dimensional generalization of the Toda lattice Pis. Zh. Eksp. Teor. Fiz. 30 443
    • (1979) Pis. Zh. Eksp. Teor. Fiz. , vol.30 , pp. 443
    • Mikhailov, A.V.1
  • 36
    • 0003000520 scopus 로고
    • Integrable nonlinear Klein-Gordon equation and Toda lattices
    • Fordy A P and Gibbons J 1980 Integrable nonlinear Klein-Gordon equation and Toda lattices Commun. Math. Phys. 77 21
    • (1980) Commun. Math. Phys. , vol.77 , pp. 21
    • Fordy, A.P.1    Gibbons, J.2


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