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Volumn 29, Issue 19, 1996, Pages 6363-6373

Solutions of the nonlinear wave equation utt = (uux)x invariant under conditional symmetries

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EID: 0030523094     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/19/020     Document Type: Article
Times cited : (12)

References (19)
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    • Bluman, G.W.1    Cole, J.D.2
  • 8
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    • Symmetry reductions and exact solutions of a class of nonlinear heat equations
    • Clarkson P A and Mansfeld E L 1993 Symmetry reductions and exact solutions of a class of nonlinear heat equations Physica 70D 250-88
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    • Clarkson, P.A.1    Mansfeld, E.L.2
  • 9
    • 84972029082 scopus 로고
    • Algorithms for reducing a system of PDEs to standard form, determining dimension of its solution space and calculating its Taylor series solution
    • Reid G J 1991 Algorithms for reducing a system of PDEs to standard form, determining dimension of its solution space and calculating its Taylor series solution Eur. J. Appl. Math. 2 293-318
    • (1991) Eur. J. Appl. Math. , vol.2 , pp. 293-318
    • Reid, G.J.1
  • 10
    • 0011644296 scopus 로고
    • Symmetries of compatibility conditions for systems of differential equations
    • Vorob'ev E M 1992 Symmetries of compatibility conditions for systems of differential equations Acta Appl. Math. 26 61-86
    • (1992) Acta Appl. Math. , vol.26 , pp. 61-86
    • Vorob'ev, E.M.1
  • 11
    • 46149142625 scopus 로고
    • The construction of special solutions to partial differential equations
    • Olver P J and Rosenau P 1986 The construction of special solutions to partial differential equations Phys. Lett. 114A 107-12
    • (1986) Phys. Lett. , vol.114 A , pp. 107-112
    • Olver, P.J.1    Rosenau, P.2
  • 12
    • 0040667951 scopus 로고
    • Conditional symmetries and explicit solutions of the nonlinear acoustic equation
    • Fushchich V I and Serov N I 1988 Conditional symmetries and explicit solutions of the nonlinear acoustic equation Rep. Ukr. Akad. Sci. A 10 27-31
    • (1988) Rep. Ukr. Akad. Sci. A , vol.10 , pp. 27-31
    • Fushchich, V.I.1    Serov, N.I.2
  • 13
    • 0002247504 scopus 로고
    • Review of symbolic software for the computation of the Lie symmetries of differential equations
    • Hereman W 1994 Review of symbolic software for the computation of the Lie symmetries of differential equations Euromath. Bull. 2 45
    • (1994) Euromath. Bull. , vol.2 , pp. 45
    • Hereman, W.1
  • 16
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    • Exact solution for the vibration of a nonlinear continuous model string
    • Zabusky N J 1962 Exact solution for the vibration of a nonlinear continuous model string J. Math. Phys. 3 1028-39
    • (1962) J. Math. Phys. , vol.3 , pp. 1028-1039
    • Zabusky, N.J.1
  • 19
    • 0011573027 scopus 로고
    • Reduction and quotient equations for differential equations with symmetries
    • Vorob'ev E M 1991 Reduction and quotient equations for differential equations with symmetries Acta Appl. Math. 23 1-24
    • (1991) Acta Appl. Math. , vol.23 , pp. 1-24
    • Vorob'ev, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.