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Volumn 37, Issue 6, 1996, Pages 2969-2978

Simple waves and invariant solutions of quasilinear systems

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EID: 0030555827     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531549     Document Type: Article
Times cited : (8)

References (18)
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  • 2
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    • Systems of Quasilinear Equations and their Applications to Gas Dynamics
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    • B. L. Rozhdestvenskii and N. N. Janenko, Systems of Quasilinear Equations and their Applications to Gas Dynamics, Translational Mathematical Monographs, 2nd ed. (American Mathematical Society, Providence, 1983), Vol. 55.
    • (1983) Translational Mathematical Monographs, 2nd Ed. , vol.55
    • Rozhdestvenskii, B.L.1    Janenko, N.N.2
  • 4
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    • Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
    • SIAM, New York
    • P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, SIAM Regional Conference Series in Applied Mathematics (SIAM, New York, 1973), Vol. 11.
    • (1973) SIAM Regional Conference Series in Applied Mathematics , vol.11
    • Lax, P.D.1
  • 5
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    • Solutions in the large for nonlinear hyperbolic systems of equations
    • J. Glimm, "Solutions in the large for nonlinear hyperbolic systems of equations," Comments Pure Appl. Math. 18, 697-715 (1965).
    • (1965) Comments Pure Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 6
    • 84980192441 scopus 로고
    • Formation of singularities in one-dimensional nonlinear wave propagation
    • F. John, "Formation of singularities in one-dimensional nonlinear wave propagation," Comments Pure Appl. Math. 27, 377-405 (1974).
    • (1974) Comments Pure Appl. Math. , vol.27 , pp. 377-405
    • John, F.1
  • 8
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    • Initial-boundary value problems for hyperbolic equation with uniformly characteristic boundary
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    • Majda, A.1    Osher, S.2
  • 9
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    • Differentiability of solutions to hyperbolic initial boundary value problems
    • J. Rauch and F. Massey, "Differentiability of solutions to hyperbolic initial boundary value problems," Trans. Am. Math. Soc. 189, 303-318 (1975).
    • (1975) Trans. Am. Math. Soc. , vol.189 , pp. 303-318
    • Rauch, J.1    Massey, F.2
  • 11
    • 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, 263-278 (1987).
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 263-278
    • Olver, P.J.1    Rosenau, P.2
  • 12
    • 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, 588-598 (1992).
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  • 13
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    • Symmetry and explicit solutions of partial differential equations
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  • 16
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    • Difference methods and the equations of hydrodynamics
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  • 18
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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, 1426-1434 (1995).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.