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Volumn 198, Issue 3, 1996, Pages 879-892

Nonclassical symmetry reduction and Riemann wave solutions

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EID: 0030584542     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0119     Document Type: Article
Times cited : (17)

References (15)
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    • Grundland, A.M.1
  • 5
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    • Systems of quasilinear equations and their applications to gas dynamics
    • Amer. Math. Soc., Providence, RI
    • B. L. Rozdestvenskii and N. N. Janenko, Systems of quasilinear equations and their applications to gas dynamics, in "Translations of Math. Monographs," Vol. 55, Amer. Math. Soc., Providence, RI, 1983.
    • (1983) Translations of Math. Monographs , vol.55
    • Rozdestvenskii, B.L.1    Janenko, N.N.2
  • 6
    • 0000478462 scopus 로고
    • The general similarity solution of the heat equation
    • G. W. Bluman and J. D. Cole, The general similarity solution of the heat equation, J. Math. Mech. 18 (1969), 1025-1042.
    • (1969) J. Math. Mech. , vol.18 , pp. 1025-1042
    • Bluman, G.W.1    Cole, J.D.2
  • 7
    • 46149142625 scopus 로고
    • The construction of special solutions to partial differential equations
    • P. J. Olver and P. Rosenau, The construction of special solutions to partial differential equations, Phys. Lett. A 114 (1986), 107-112.
    • (1986) Phys. Lett. A , vol.114 , pp. 107-112
    • Olver, P.J.1    Rosenau, P.2
  • 8
    • 0023327684 scopus 로고
    • Group-invariant solutions of differential equations
    • P. J. Olver and P. Rosenau, Group-invariant solutions of differential equations, SIAM J. Appl. Math. 47 (1987), 263-278.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 263-278
    • Olver, P.J.1    Rosenau, P.2
  • 9
    • 0001678923 scopus 로고
    • Nonclassical symmetry reduction: Example of the Boussinesq equation
    • D. Levi and P. Winternitz, Nonclassical symmetry reduction: Example of the Boussinesq equation, J. Phys. A: Math. Gen. 22 (1989), 2915-2924.
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 2915-2924
    • Levi, D.1    Winternitz, P.2
  • 10
    • 0001424046 scopus 로고
    • Similarity reductions of partial differential equations
    • E. Pucci, Similarity reductions of partial differential equations, J. Phys. A: Math. Gen. 25 (1992), 2631-2646.
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    • Pucci, E.1
  • 11
    • 0000467484 scopus 로고
    • On the weak symmetry groups of partial differential equations
    • E. Pucci and G. Saccomandi, On the weak symmetry groups of partial differential equations, J. Math. Anal. Appl. 163 (1992), 588-600.
    • (1992) J. Math. Anal. Appl. , vol.163 , pp. 588-600
    • Pucci, E.1    Saccomandi, G.2
  • 12
    • 0011573027 scopus 로고
    • Reduction and quotient equations for differential equations with symmetries
    • E. Vorobev, Reduction and quotient equations for differential equations with symmetries, Acta Appl. Math. 23 (1991), 1-24.
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  • 15
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    • On the existence of nonclassical symmetries of partial differential equations
    • A. M. Grundland and J. Tafel, On the existence of nonclassical symmetries of partial differential equations, J. Math. Phys. 36 (1995), 1426-1434.
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    • Grundland, A.M.1    Tafel, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.