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Volumn 32, Issue 14, 1999, Pages 2685-2695

Symmetries of the discrete Burgers equation

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EID: 0040843315     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/14/009     Document Type: Article
Times cited : (52)

References (22)
  • 3
    • 21844515167 scopus 로고
    • Lie symmetries of finite difference equations
    • Floreanini R and Vinet L 1995 Lie symmetries of finite difference equations J. Math. Phys. 36 7024-42
    • (1995) J. Math. Phys. , vol.36 , pp. 7024-7042
    • Floreanini, R.1    Vinet, L.2
  • 5
    • 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
  • 6
    • 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
  • 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 5551-76
    • (1996) J. Math. Phys. , vol.37 , pp. 5551-5576
    • Levi, D.1    Winternitz, P.2
  • 11
    • 0040374236 scopus 로고
    • Symmetry groups of partial differential equations and of differential-difference equations. The toda lattice versus the Korteweg - de Vries equation
    • Levi D and Rodríguez M A 1992 Symmetry groups of partial differential equations and of differential-difference equations. The Toda lattice versus the Korteweg - de Vries equation J. Phys. A: Math. Gen. 25 L875-979
    • (1992) J. Phys. A: Math. Gen. , vol.25
    • Levi, D.1    Rodríguez, M.A.2
  • 12
    • 0031530864 scopus 로고    scopus 로고
    • Conditions for the existence of higher symmetries of evolutionary equations on a lattice
    • Levi D and Yamilov R 1997 Conditions for the existence of higher symmetries of evolutionary equations on a lattice J. Math. Phys. 38 6648-74
    • (1997) J. Math. Phys. , vol.38 , pp. 6648-6674
    • Levi, D.1    Yamilov, R.2
  • 14
    • 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
  • 15
    • 0001158863 scopus 로고
    • Transformation groups in mesh spaces
    • Dorodnitsyn V 1991 Transformation groups in mesh spaces J. Sov. Math. 55 1490-517
    • (1991) J. Sov. Math. , vol.55 , pp. 1490-1517
    • Dorodnitsyn, V.1
  • 16
    • 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. 195 872-87
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 872-887
    • Joshi, N.1    Vassiliou, P.J.2
  • 17
    • 0038957699 scopus 로고
    • The similarity method for difference equations
    • Maeda S 1987 The similarity method for difference equations IMA J. Appl. Math. 38 129
    • (1987) IMA J. Appl. Math. , vol.38 , pp. 129
    • Maeda, S.1
  • 18
    • 19244367940 scopus 로고    scopus 로고
    • Lie symmetries and their local determinancy for a class of differential-difference equations
    • Jiang Z 1998 Lie symmetries and their local determinancy for a class of differential-difference equations Phys. Lett. A 240 137-43
    • (1998) Phys. Lett. A , vol.240 , pp. 137-143
    • Jiang, Z.1
  • 20
    • 0032546711 scopus 로고    scopus 로고
    • Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
    • Nishinari K and Takahashi D 1998 Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton J. Phys. A: Math. Gen. 31 5439-50
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 5439-5450
    • Nishinari, K.1    Takahashi, D.2
  • 21
    • 51649166427 scopus 로고
    • Continuous and discrete matrix Burgers hierarchies
    • Levi D, Ragnisco O and Bruschi M 1993 Continuous and discrete matrix Burgers hierarchies Nuovo Cimenta B 11 33-51
    • (1993) Nuovo Cimenta B , vol.11 , pp. 33-51
    • Levi, D.1    Ragnisco, O.2    Bruschi, M.3
  • 22
    • 0002279696 scopus 로고
    • Lie groups and solutions of nonlinear partial differential equations
    • ed AIbort and M A Rodriguez (Dordrecht: Kluwer)
    • Winternitz P 1993 Lie groups and solutions of nonlinear partial differential equations lntegrable Systems, Quantum Groups and Quantum Field Theories ed AIbort and M A Rodriguez (Dordrecht: Kluwer) pp 429-95
    • (1993) Lntegrable Systems, Quantum Groups and Quantum Field Theories , pp. 429-495
    • Winternitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.