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Volumn 48, Issue 1-2, 2007, Pages 91-96

New explicit solutions of the Burgers equation

Author keywords

Burgers equation; Explicit solution; Nonclassical potential symmetry generator

Indexed keywords

MATHEMATICAL TRANSFORMATIONS;

EID: 33846549487     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9075-3     Document Type: Article
Times cited : (3)

References (10)
  • 2
    • 0003689750 scopus 로고
    • Transformation Groups Applied to Mathematical Physics, Nauka
    • Reidel, Boston, MA
    • Ibragimov, N.H.: Transformation Groups Applied to Mathematical Physics, Nauka, Moscow 1983. English translation, Reidel, Boston, MA (1985)
    • (1985) Moscow 1983. English translation
    • Ibragimov, N.H.1
  • 4
    • 0004171739 scopus 로고
    • Group Analysis of Differential Equations, Nauka
    • Academic Press, New York
    • Ovsiannikov, L.V.: Group Analysis of Differential Equations, Nauka, Moscow 1978. English translation: Academic Press, New York (1982)
    • (1982) Moscow 1978. English translation
    • Ovsiannikov, L.V.1
  • 5
    • 0000478462 scopus 로고
    • The general similarity solutions of the heat equation
    • Bluman, G.W., Cole, J.D.: The general similarity solutions of the heat equation. J. Mathe. Mech 18, 1025-1042 (1969)
    • (1969) J. Mathe. Mech , vol.18 , pp. 1025-1042
    • Bluman, G.W.1    Cole, J.D.2
  • 6
    • 36549097238 scopus 로고
    • New classes of symmetties for partial differential equations
    • Bluman, G.W., Kumei, S.: New classes of symmetties for partial differential equations. J. Mathe. Phy. 29, 806-811 (1988)
    • (1988) J. Mathe. Phy , vol.29 , pp. 806-811
    • Bluman, G.W.1    Kumei, S.2
  • 7
    • 0036803759 scopus 로고    scopus 로고
    • Noclassical potential symmetry generators of differential equations
    • Johnpiliai, A.G., Kara, A.H.:Noclassical potential symmetry generators of differential equations: Nonlin. Dyn. 30, 167-177 (2002)
    • (2002) Nonlin. Dyn , vol.30 , pp. 167-177
    • Johnpiliai, A.G.1    Kara, A.H.2
  • 8
    • 33846506912 scopus 로고    scopus 로고
    • Gandarias, M.L.: Noclassical potential symmetries of the Burgers equation. In: Symmetries in Nonlinear Mathematical Physics (Kiev, 1997). M. Shkil, A. Nikitin, V. Boyko (eds.), 1, pp. 130-137 (1997)
    • Gandarias, M.L.: Noclassical potential symmetries of the Burgers equation. In: Symmetries in Nonlinear Mathematical Physics (Kiev, 1997). M. Shkil, A. Nikitin, V. Boyko (eds.), Vol. 1, pp. 130-137 (1997)
  • 9
    • 14944364491 scopus 로고    scopus 로고
    • Nonclassical potential symmetries and explicit solutions to the Burgers equation
    • Qin, M.C., Mei, F.X., Xu, X.J.: Nonclassical potential symmetries and explicit solutions to the Burgers equation. Z. Naturforsch. 60a, 17-22 (2005)
    • (2005) Z. Naturforsch , vol.60 a , pp. 17-22
    • Qin, M.C.1    Mei, F.X.2    Xu, X.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.