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Volumn 57, Issue 1, 2006, Pages 101-119

On quasi-triviality and integrability of a class of scalar evolutionary PDEs

Author keywords

Integrability; Quasi triviality; Scalar evolutionary PDEs

Indexed keywords


EID: 33749148303     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2006.02.005     Document Type: Article
Times cited : (37)

References (21)
  • 1
    • 33747154206 scopus 로고
    • Approximate symmetries and formal linearization
    • (in Russian)
    • Baikov V.A., Gazizov R.K., and Ibragimov N.Kh. Approximate symmetries and formal linearization. PMTF 2 (1989) 40-49 (in Russian)
    • (1989) PMTF , vol.2 , pp. 40-49
    • Baikov, V.A.1    Gazizov, R.K.2    Ibragimov, N.Kh.3
  • 2
    • 0007323072 scopus 로고
    • C-integrable nonlinear PDEs. II
    • Calogero F., and Ji X. C-integrable nonlinear PDEs. II. J. Math. Phys. 32 (1991) 2703-2717
    • (1991) J. Math. Phys. , vol.32 , pp. 2703-2717
    • Calogero, F.1    Ji, X.2
  • 3
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • Camassa R., and Holm D.D. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71 (1993) 1661-1664
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.D.2
  • 5
    • 0000818276 scopus 로고
    • Mean field theory, topological field theory, and multi-matrix models
    • Dijkgraaf R., and Witten E. Mean field theory, topological field theory, and multi-matrix models. Nuclear Phys. B 342 (1990) 486-522
    • (1990) Nuclear Phys. B , vol.342 , pp. 486-522
    • Dijkgraaf, R.1    Witten, E.2
  • 7
    • 0032276702 scopus 로고    scopus 로고
    • Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
    • Dubrovin B., and Zhang Y. Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. Commun. Math. Phys. 198 (1998) 311-361
    • (1998) Commun. Math. Phys. , vol.198 , pp. 311-361
    • Dubrovin, B.1    Zhang, Y.2
  • 9
    • 33645012671 scopus 로고    scopus 로고
    • On Hamiltonian perturbations of hyperbolic systems of conservation laws I: quasi-triviality of bi-Hamiltonian perturbations
    • Dubrovin B., Liu S.-Q., and Zhang Y. On Hamiltonian perturbations of hyperbolic systems of conservation laws I: quasi-triviality of bi-Hamiltonian perturbations. Commun. Pure Appl. Math. 59 (2006) 559-615
    • (2006) Commun. Pure Appl. Math. , vol.59 , pp. 559-615
    • Dubrovin, B.1    Liu, S.-Q.2    Zhang, Y.3
  • 10
    • 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
    • (1995) Rev. Math. Phys. , vol.7 , pp. 279
    • Eguchi, T.1    Yamada, Y.2    Yang, S.-K.3
  • 11
    • 36749119273 scopus 로고
    • A symmetry approach to exactly solvable evolution equations
    • Fokas A.S. A symmetry approach to exactly solvable evolution equations. J. Math. Phys. 21 (1980) 1318-1325
    • (1980) J. Math. Phys. , vol.21 , pp. 1318-1325
    • Fokas, A.S.1
  • 12
    • 0023542072 scopus 로고
    • Symmetries and integrability
    • Fokas A.S. Symmetries and integrability. Stud. Appl. Math. 77 (1987) 253-299
    • (1987) Stud. Appl. Math. , vol.77 , pp. 253-299
    • Fokas, A.S.1
  • 13
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformations and hereditary symmetries
    • Fuchssteiner B., and Fokas A.S. Symplectic structures, their Bäcklund transformations and hereditary symmetries. Physica D 4 (1981) 47-66
    • (1981) Physica D , vol.4 , pp. 47-66
    • Fuchssteiner, B.1    Fokas, A.S.2
  • 14
    • 0000504582 scopus 로고
    • Combinatorics of the modular group II: The Kontsevich integrals
    • Itzykson C., and Zuber J.-B. Combinatorics of the modular group II: The Kontsevich integrals. Internet J. Modern Phys. A7 (1992) 5661
    • (1992) Internet J. Modern Phys. , vol.A7 , pp. 5661
    • Itzykson, C.1    Zuber, J.-B.2
  • 15
    • 0001792752 scopus 로고
    • Intersection theory on the moduli space of curves and the matrix Airy function
    • Kontsevich M. Intersection theory on the moduli space of curves and the matrix Airy function. Commun. Math. Phys. 147 (1992) 1-23
    • (1992) Commun. Math. Phys. , vol.147 , pp. 1-23
    • Kontsevich, M.1
  • 16
    • 19044364194 scopus 로고    scopus 로고
    • Deformations of semisimple bihamiltonian structures of hydrodynamic type
    • Liu S.-Q., and Zhang Y. Deformations of semisimple bihamiltonian structures of hydrodynamic type. J. Geom. Phys. 54 (2005) 427-453
    • (2005) J. Geom. Phys. , vol.54 , pp. 427-453
    • Liu, S.-Q.1    Zhang, Y.2
  • 17
    • 33947180234 scopus 로고
    • The Symmetry approach to the classification of non-linear equations. Complete Lists of integrable systems
    • Mikhailov A.V., Shabat A.B., and Yamilov R.I. The Symmetry approach to the classification of non-linear equations. Complete Lists of integrable systems. Russian Math. Surveys 42 4 (1987) 1-63
    • (1987) Russian Math. Surveys , vol.42 , Issue.4 , pp. 1-63
    • Mikhailov, A.V.1    Shabat, A.B.2    Yamilov, R.I.3
  • 18
    • 0007144007 scopus 로고
    • The symmetry approach to the classification of integrable equations. (Russian) Integrability and kinetic equations for solitons (Russian)
    • Kiev
    • Mikhailov A.V., Shabat A.B., and Sokolov V.V. The symmetry approach to the classification of integrable equations. (Russian) Integrability and kinetic equations for solitons (Russian). "Naukova Dumka" (1990), Kiev 213-279
    • (1990) "Naukova Dumka" , pp. 213-279
    • Mikhailov, A.V.1    Shabat, A.B.2    Sokolov, V.V.3
  • 19
    • 0001445382 scopus 로고    scopus 로고
    • On the integrability of homogeneous scalar evolutionary equations
    • Sanders J.A., and Wang J.P. On the integrability of homogeneous scalar evolutionary equations. J. Differential Equations 147 (1998) 410-434
    • (1998) J. Differential Equations , vol.147 , pp. 410-434
    • Sanders, J.A.1    Wang, J.P.2
  • 20
    • 0002404102 scopus 로고
    • Symmetries-test of integrability
    • Important developments in soliton theory, Springer, Berlin
    • Shabat A.B., and Mikhailov A.V. Symmetries-test of integrability. Important developments in soliton theory. Springer Ser. Nonlinear Dynam. (1993), Springer, Berlin 355-374
    • (1993) Springer Ser. Nonlinear Dynam. , pp. 355-374
    • Shabat, A.B.1    Mikhailov, A.V.2
  • 21
    • 0000910190 scopus 로고
    • Two-dimensional gravity and intersection theory on moduli space
    • Witten E. Two-dimensional gravity and intersection theory on moduli space. Surv. Differ. Geom. 1 (1991) 243-310
    • (1991) Surv. Differ. Geom. , vol.1 , pp. 243-310
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.