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Volumn 58, Issue 2, 2001, Pages 129-140

Deformations of dispersionless KdV hierarchies

Author keywords

Deformation theory; Equations of hydrodynamic type; Hamiltonian structures; Integrable systems

Indexed keywords


EID: 0012847734     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013370516221     Document Type: Article
Times cited : (4)

References (13)
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    • Dubrovin, B. and Novikov, S. P.: The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyabov-Witham averaging method, Soviet Math. Dokl. 27 (1983) 665-669.
    • (1983) Soviet Math. Dokl. , vol.27 , pp. 665-669
    • Dubrovin, B.1    Novikov, S.P.2
  • 4
    • 0032276702 scopus 로고    scopus 로고
    • Bihamiltonian hierarchies in the 2D topological field theory at one-loop approximation
    • Dubrovin, B. and Zhang, Y.: Bihamiltonian hierarchies in the 2D topological field theory at one-loop approximation, Comm. Math. Phys. 198 (1998), 311-361; Frobenius manifolds and Virasoro constraints, Selecta Math. N. S. 5 (1999), 423-466, Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants, math/0108160.
    • (1998) Comm. Math. Phys. , vol.198 , pp. 311-361
    • Dubrovin, B.1    Zhang, Y.2
  • 5
    • 0000485488 scopus 로고    scopus 로고
    • Frobenius manifolds and Virasoro constraints
    • Dubrovin, B. and Zhang, Y.: Bihamiltonian hierarchies in the 2D topological field theory at one-loop approximation, Comm. Math. Phys. 198 (1998), 311-361; Frobenius manifolds and Virasoro constraints, Selecta Math. N. S. 5 (1999), 423-466, Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants, math/0108160.
    • (1999) Selecta Math. N. S. , vol.5 , pp. 423-466
  • 7
    • 0000204750 scopus 로고
    • On the genus expansion in the topological string theory
    • Eguchi, T, Yamada Y. and Yang, S. K.: On the genus expansion in the topological string theory, Rev. Math. Phys. 7 (1995), 279-309.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 279-309
    • Eguchi, T.1    Yamada, Y.2    Yang, S.K.3
  • 8
    • 0039165607 scopus 로고    scopus 로고
    • Integrable coupled KdV systems
    • Gürses, M. and Karasu, A.: Integrable coupled KdV systems, Phys. Lett. A 39 (1998), 2103-2111.
    • (1998) Phys. Lett. A , vol.39 , pp. 2103-2111
    • Gürses, M.1    Karasu, A.2
  • 11
    • 0034550603 scopus 로고    scopus 로고
    • Jordan manifolds and dispersionless KdV equations
    • Strachan, I. A. B.: Jordan manifolds and dispersionless KdV equations, J. Nonlinear Math. Phys. 7 (2000), 495-510.
    • (2000) J. Nonlinear Math. Phys. , vol.7 , pp. 495-510
    • Strachan, I.A.B.1
  • 12
    • 4043161730 scopus 로고
    • Jordan algebras and generalized Korteweg-de Vries equations
    • Svinolupov, S. I.: Jordan algebras and generalized Korteweg-de Vries equations, Teoret. Math. Phys. 87 (1991), 611-620; Jordan algebras and integrable systems, Funct. Anal. Appl. 27 (1993), 257-265.
    • (1991) Teoret. Math. Phys. , vol.87 , pp. 611-620
    • Svinolupov, S.I.1
  • 13
    • 0040440025 scopus 로고
    • Jordan algebras and integrable systems
    • Svinolupov, S. I.: Jordan algebras and generalized Korteweg-de Vries equations, Teoret. Math. Phys. 87 (1991), 611-620; Jordan algebras and integrable systems, Funct. Anal. Appl. 27 (1993), 257-265.
    • (1993) Funct. Anal. Appl. , vol.27 , pp. 257-265


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.