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Volumn 35, Issue 48, 2002, Pages 10325-10344

Classical R-matrix theory of dispersionless systems: I. (1 + 1)-dimension theory

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EID: 0037032762     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/48/308     Document Type: Article
Times cited : (40)

References (14)
  • 1
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    • The Hamiltonian formalism of one dimensional systems of hydrodynamic type and the Bogolyubow-Witham averaging method
    • Dubrovin B and Novikov S P 1983 The Hamiltonian formalism of one dimensional systems of hydrodynamic type and the Bogolyubow-Witham averaging method Sov. Math. Dokl. 27 665
    • (1983) Sov. Math. Dokl. , vol.27 , pp. 665
    • Dubrovin, B.1    Novikov, S.P.2
  • 2
    • 0039676980 scopus 로고
    • Nonlocal Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
    • Mokhov O and Ferapontov E 1990 Nonlocal Hamiltonian operators of hydrodynamic type related to metrics of constant curvature Russ. Math. Surv. 45 218-9
    • (1990) Russ. Math. Surv. , vol.45 , pp. 218-219
    • Mokhov, O.1    Ferapontov, E.2
  • 4
    • 0001060060 scopus 로고
    • Integrable hierarchies and dispersionless limit
    • Takasaki K and Takebe T 1995 Integrable hierarchies and dispersionless limit Rev. Math. Phys. 7 743-808
    • (1995) Rev. Math. Phys. , vol.7 , pp. 743-808
    • Takasaki, K.1    Takebe, T.2
  • 7
    • 85008031283 scopus 로고
    • An r-matrix approach to nonstandard classes of integrable equations
    • Konopelchenko B G and Oevel W 1993 An r-matrix approach to nonstandard classes of integrable equations Publ. Res. Inst. Math. Sci. 29 581-666
    • (1993) Publ. Res. Inst. Math. Sci. , vol.29 , pp. 581-666
    • Konopelchenko, B.G.1    Oevel, W.2
  • 9
    • 0033242956 scopus 로고    scopus 로고
    • Classical r-matrices and compatible Poisson structures for Lax equations in Poisson algebras
    • Li Luen-Chau 1999 Classical r-matrices and compatible Poisson structures for Lax equations in Poisson algebras Commun. Math. Phys. 203 573-92
    • (1999) Commun. Math. Phys. , vol.203 , pp. 573-592
    • Li, L.-C.1
  • 10
    • 0042996782 scopus 로고
    • Integrable equations that are connected with a Poisson algebra
    • Golenishcheva-Kutuzova M and Reyman A 1988 Integrable equations that are connected with a Poisson algebra Zap. Nauchn. Semin. LOMI 169 44-50 (Engl. transl. 1991 J. Sov. Math. 54 890)
    • (1988) Zap. Nauchn. Semin. LOMI , vol.169 , pp. 44-50
    • Golenishcheva-Kutuzova, M.1    Reyman, A.2
  • 11
    • 34249927843 scopus 로고
    • Engl. transl.
    • Golenishcheva-Kutuzova M and Reyman A 1988 Integrable equations that are connected with a Poisson algebra Zap. Nauchn. Semin. LOMI 169 44-50 (Engl. transl. 1991 J. Sov. Math. 54 890)
    • (1991) J. Sov. Math. , vol.54 , pp. 890
  • 12
    • 0037071094 scopus 로고    scopus 로고
    • Classical R-matrices on Poisson algebras and related dispersionless systems
    • Blaszak M 2002 Classical R-matrices on Poisson algebras and related dispersionless systems Phys. Lett. A 297 191-5
    • (2002) Phys. Lett. A , vol.297 , pp. 191-195
    • Blaszak, M.1
  • 14
    • 0034355658 scopus 로고    scopus 로고
    • Poisson algebras associated with constrained dispersionless modified Kadomtsev-Petviashvili hierarchies
    • Chang Jen-Hsu and Tu Ming-Hsien 2000 Poisson algebras associated with constrained dispersionless modified Kadomtsev-Petviashvili hierarchies J. Math. Phys. 41-8117-31
    • (2000) J. Math. Phys. , vol.41 , pp. 8117-8131
    • Chang, J.-H.1    Tu, M.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.