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Volumn 42, Issue 3, 2001, Pages 1309-1325

Recursion operators of some equations of hydrodynamic type

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EID: 0035530268     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1346597     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 0033249099 scopus 로고    scopus 로고
    • On construction of recursion operator from Lax representation
    • M. Gürses, A. Karasu, and V. V. Sokolov, "On construction of recursion operator from Lax representation," J. Math. Phys. 40, 6473-6490 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 6473-6490
    • Gürses, M.1    Karasu, A.2    Sokolov, V.V.3
  • 2
    • 0002855939 scopus 로고
    • Asymptotic behavior of the re-solvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations
    • I. M. Gel'fand and L. A. Dikkii, "Asymptotic behavior of the re-solvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations," Funct. Anal. Appl. 10, 13 (1976).
    • (1976) Funct. Anal. Appl. , vol.10 , pp. 13
    • Gel'fand, I.M.1    Dikkii, L.A.2
  • 3
    • 0001392731 scopus 로고
    • Hamiltonian formalism of one-dimensional systems of hydrodynamic type
    • B. A. Dubrovin and S. P. Novikov, "Hamiltonian formalism of one-dimensional systems of hydrodynamic type," Sov. Math. Dokl. 27, 665 (1983).
    • (1983) Sov. Math. Dokl. , vol.27 , pp. 665
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 6
    • 0003317855 scopus 로고
    • Applications of lie groups to differential equations
    • Springer-Verlag, New York
    • P. J. Olver, Applications of Lie Groups to Differential Equations, Graduate Text in Mathematics, 2nd ed. (Springer-Verlag, New York, 1993), Vol. 107.
    • (1993) Graduate Text in Mathematics, 2nd Ed. , vol.107
    • Olver, P.J.1
  • 8
    • 0001415486 scopus 로고    scopus 로고
    • The algebraic and Hamiltonian structure of the dispersion-less Benney and Toda hierarchies
    • D. B. Fairlie and I. A. B. Strachan, "The algebraic and Hamiltonian structure of the dispersion-less Benney and Toda hierarchies," Inverse Probl. 12, 885-908 (1998).
    • (1998) Inverse Probl. , vol.12 , pp. 885-908
    • Fairlie, D.B.1    Strachan, I.A.B.2
  • 9
    • 0033240849 scopus 로고    scopus 로고
    • Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations
    • I. A. B. Strachan, "Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations," J. Math. Phys. 40, 5058-5079 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 5058-5079
    • Strachan, I.A.B.1
  • 10
    • 0040831269 scopus 로고    scopus 로고
    • A Lax description for polytropic gas dynamics
    • J. C. Brunelli and A. Das, "A Lax description for polytropic gas dynamics," Phys. Lett. A 235, 597-602 (1997).
    • (1997) Phys. Lett. A , vol.235 , pp. 597-602
    • Brunelli, J.C.1    Das, A.2
  • 12
    • 0001189389 scopus 로고    scopus 로고
    • Generalized hydrodynamic-type systems
    • edited by N. H. Ibragimov CRC, New York
    • M. B. Sheftel, "Generalized hydrodynamic-type systems," in CRC Handbook of Lie Group Analysis of Differential Equations, edited by N. H. Ibragimov (CRC, New York, 1996), Vol. 3, pp. 169-189.
    • (1996) CRC Handbook of Lie Group Analysis of Differential Equations , vol.3 , pp. 169-189
    • Sheftel, M.B.1
  • 13
    • 0002943486 scopus 로고
    • Hyperbolic systems admitting a nontrivial Lie-Backlund group
    • V. M. Teshukov, "Hyperbolic systems admitting a nontrivial Lie-Backlund group," LIIAN, 106, 25-30 (1989).
    • (1989) LIIAN , vol.106 , pp. 25-30
    • Teshukov, V.M.1
  • 14
    • 0033633224 scopus 로고    scopus 로고
    • A new construction of recursion operators for systems of hydrodynamic type
    • A. P. Fordy and B. Gürel, "A new construction of recursion operators for systems of hydrodynamic type," Theor. Math. Fiz. 122, 37-49 (2000).
    • (2000) Theor. Math. Fiz. , vol.122 , pp. 37-49
    • Fordy, A.P.1    Gürel, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.