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Volumn 46, Issue 4, 2005, Pages

On the local and nonlocal Camassa-Holm hierarchies

Author keywords

[No Author keywords available]

Indexed keywords


EID: 17444406329     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1888568     Document Type: Article
Times cited : (12)

References (12)
  • 1
    • 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, 1661-1664 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.D.2
  • 2
    • 0032188605 scopus 로고    scopus 로고
    • Bihamiltonian geometry, Darboux coverings and linearization of the KP hierarchy
    • Falqui, G., Magri, F., and Pedroni, M., " Bihamiltonian geometry, Darboux coverings and linearization of the KP hierarchy., " Commun. Math. Phys. 197, 303-324 (1998).
    • (1998) Commun. Math. Phys. , vol.197 , pp. 303-324
    • Falqui, G.1    Magri, F.2    Pedroni, M.3
  • 3
    • 0026390825 scopus 로고
    • Dynamics of director fields
    • Hunter, J., and Saxton, R., " Dynamics of director fields., " SIAM J. Appl. Math. 51, 1498-1521 (1991).
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 1498-1521
    • Hunter, J.1    Saxton, R.2
  • 4
    • 0037612018 scopus 로고    scopus 로고
    • Euler equations on homogeneous spaces and Virasoro orbits
    • Khesin, B. and Misiolek, G., " Euler equations on homogeneous spaces and Virasoro orbits., " Adv. Math. 176, 116-144 (2003).
    • (2003) Adv. Math. , vol.176 , pp. 116-144
    • Khesin, B.1    Misiolek, G.2
  • 5
    • 0038363162 scopus 로고
    • Nonlinear wave equations
    • J.Moser, Lecture Notes in Physics 38 (Springer, Heidelberg
    • Kruskal, M., " Nonlinear wave equations., " in Dynamical Systems, Theory and Applications, edited by, J. Moser, Lecture Notes in Physics 38 (Springer, Heidelberg, 1975), pp. 310-354.
    • (1975) Dynamical Systems, Theory and Applications, Edited by , pp. 310-354
    • Kruskal, M.1
  • 6
    • 12944314802 scopus 로고    scopus 로고
    • Conservation laws of the Camassa-Holm equation
    • Lenells, J., " Conservation laws of the Camassa-Holm equation., " J. Phys. A 38, 869-880 (2005).
    • (2005) J. Phys. A , vol.38 , pp. 869-880
    • Lenells, J.1
  • 7
    • 13244298335 scopus 로고    scopus 로고
    • On the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym equations
    • Lorenzoni, P., and Pedroni, M., " On the bi-Hamiltonian structures of the Camassa-Holm and Harry Dym equations., " Int. Math. Res. Notices 75, 4019-4029 (2004).
    • (2004) Int. Math. Res. Notices , vol.75 , pp. 4019-4029
    • Lorenzoni, P.1    Pedroni, M.2
  • 8
    • 13244297292 scopus 로고    scopus 로고
    • Eight lectures on integrable systems
    • edited by Y.Kosmann-Schwarzbach et al., Lecture Notes in Physics 638 (Springer, New York
    • Magri, F., Casati, P., Falqui, G., and Pedroni, M., " Eight lectures on integrable systems., " in Integrability of Nonlinear Systems, 2nd ed., edited by, Y. Kosmann-Schwarzbach, et al., Lecture Notes in Physics 638 (Springer, New York, 2004), pp. 209-250.
    • (2004) Integrability of Nonlinear Systems, 2nd Ed. , pp. 209-250
    • Magri, F.1    Casati, P.2    Falqui, G.3    Pedroni, M.4
  • 9
    • 2442552977 scopus 로고    scopus 로고
    • The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies
    • H. McKean, " The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies., " Commun. Pure Appl. Math. 56, 998-1015 (2003).
    • (2003) Commun. Pure Appl. Math. , vol.56 , pp. 998-1015
    • McKean, H.1
  • 10
    • 84903362336 scopus 로고    scopus 로고
    • Squared eigenfunction symmetries for soliton equations. I
    • 0022-247X
    • Oevel, W., and Carillo, S., " Squared eigenfunction symmetries for soliton equations. I., " J. Math. Anal. Appl. 0022-247X 217, 161-178 (1998); Oevel, W. and Carillo, S., " Squared eigenfunction symmetries for soliton equations. II., " J. Math. Anal. Appl. 217, 179-199 (1988).
    • (1998) J. Math. Anal. Appl. , vol.217 , pp. 161-178
    • Oevel, W.1    Carillo, S.2
  • 11
    • 0040577087 scopus 로고
    • Squared eigenfunction symmetries for soliton equations. II
    • Oevel, W., and Carillo, S., " Squared eigenfunction symmetries for soliton equations. I., " J. Math. Anal. Appl. 0022-247X 217, 161-178 (1998); Oevel, W. and Carillo, S., " Squared eigenfunction symmetries for soliton equations. II., " J. Math. Anal. Appl. 217, 179-199 (1988).
    • (1988) J. Math. Anal. Appl. , vol.217 , pp. 179-199
    • Oevel, W.1    Carillo, S.2
  • 12
    • 0036441466 scopus 로고    scopus 로고
    • On the bi-Hamiltonian theory for the Harry Dym equation
    • Pedroni, M., Sciacca, V., and Zubelli, J. P., " On the bi-Hamiltonian theory for the Harry Dym equation., " Theor. Math. Phys. 133, 1583-1595 (2002).
    • (2002) Theor. Math. Phys. , vol.133 , pp. 1583-1595
    • Pedroni, M.1    Sciacca, V.2    Zubelli, J.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.