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Volumn 214, Issue 3, 2000, Pages 651-677

On action-angle variables for the second Poisson bracket of KdV

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EID: 0034343129     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000282     Document Type: Article
Times cited : (4)

References (18)
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    • Bättig, D.1    Bloch, A.2    Guillot, J.-C.3    Kappeler, T.4
  • 2
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    • On the korteweg-devries equation: Convergent birkhoff normal form
    • Bättig, D., Kappeler, T. and Mityagin, B.: On the Korteweg-deVries equation: convergent Birkhoff normal form. J. Funct. Anal. 140, 335-358 (1996)
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    • Bättig, D.1    Kappeler, T.2    Mityagin, B.3
  • 3
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    • On the Korteweg-deVries equation: Frequencies and initial value problem
    • Bättig, D., Kappeler, T. and Mityagin, B.: On the Korteweg-deVries equation: frequencies and initial value problem. Pacific J. Math. 181, 1-55 (1997)
    • (1997) Pacific J. Math. , vol.181 , pp. 1-55
    • Bättig, D.1    Kappeler, T.2    Mityagin, B.3
  • 4
    • 84980167278 scopus 로고
    • On global action-angle coordinates
    • Duistermaat, J.J.: On global action-angle coordinates. CPAM 33, 687-706 (1980)
    • (1980) CPAM , vol.33 , pp. 687-706
    • Duistermaat, J.J.1
  • 5
    • 0001037331 scopus 로고
    • Canonically conjugate variables for the Korteweg-deVries equation and Toda lattice with periodic boundary conditions
    • Flaschka, H. and McLaughlin, D.: Canonically conjugate variables for the Korteweg-deVries equation and Toda lattice with periodic boundary conditions. Progress of Theor. Phys. 55, 438-456 (1976)
    • (1976) Progress of Theor. Phys. , vol.55 , pp. 438-456
    • Flaschka, H.1    McLaughlin, D.2
  • 6
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    • Gaps and bands of one dimensional Schrödinger operators
    • Garnett, J., Trubowitz, E.: Gaps and bands of one dimensional Schrödinger operators. Commun. Math. Helv. 59, 258-312 (1984)
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    • Garnett, J.1    Trubowitz, E.2
  • 8
    • 0000928116 scopus 로고
    • Fibration of the phase-space for the Korteweg-deVries equation
    • Kappeler, T.: Fibration of the phase-space for the Korteweg-deVries equation. Ann. Inst. Fourier 41, 539-575 (1991)
    • (1991) Ann. Inst. Fourier , vol.41 , pp. 539-575
    • Kappeler, T.1
  • 9
    • 0002008512 scopus 로고    scopus 로고
    • On the symplectic foliation induced by the second poisson bracket for KdV
    • eds. D. Bumbusi, G. Gaeta. Quaderni del Con. Naz. delle Ric., Fisica Matematica
    • Kappeler, T., Makarov, M.: On the symplectic foliation induced by the second Poisson bracket for KdV. In: Symmetry and Perturbation Theory, eds. D. Bumbusi, G. Gaeta. Quaderni del Con. Naz. delle Ric., Fisica Matematica, n. 54, 1998, pp. 132-152
    • (1998) Symmetry and Perturbation Theory , Issue.54 , pp. 132-152
    • Kappeler, T.1    Makarov, M.2
  • 11
    • 0040912462 scopus 로고
    • Poisson-lie group of pseudodifferential symbols
    • Khesin, B., Zakharevich, I.S.: Poisson-Lie group of pseudodifferential symbols. Commun. Math. Phys. 171, 475-530 (1995)
    • (1995) Commun. Math. Phys. , vol.171 , pp. 475-530
    • Khesin, B.1    Zakharevich, I.S.2
  • 12
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional hamiltonian systems
    • Berlin: Springer-Verlag
    • Kuksin, S.: Nearly Integrable Infinite-Dimensional Hamiltonian Systems. Lecture Notes Math. 1556, Berlin: Springer-Verlag, 1993
    • (1993) Lecture Notes Math. , vol.1556
    • Kuksin, S.1
  • 13
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    • A simple model of the integrable Hamiltonian equation
    • Magri, F.: A simple model of the integrable Hamiltonian equation. J. Math. Phys. 19, 1156-1162 (1978)
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  • 14
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    • Compatible brackets in Hamiltonian mechanics
    • eds. A.S. Fokas, V.E. Zakharov, Berlin-Heidelberg-New York: Springer
    • McKean, H.P.: Compatible brackets in Hamiltonian Mechanics. In: Important Developments in Soliton Theory, eds. A.S. Fokas, V.E. Zakharov, Berlin-Heidelberg-New York: Springer, 1993
    • (1993) Important Developments in Soliton Theory
    • McKean, H.P.1
  • 15
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    • Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
    • McKean, H.P., Trubowitz, E.: Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points. CPAM 24, 143-226 (1976)
    • (1976) CPAM , vol.24 , pp. 143-226
    • McKean, H.P.1    Trubowitz, E.2
  • 16
    • 0040758102 scopus 로고    scopus 로고
    • Action-angle variables for the cubic schrödinger equation
    • McKean, H.P., Vaninsky, K.L.: Action-angle variables for the cubic Schrödinger equation. CPAM 50, 489-562 (1997)
    • (1997) CPAM , vol.50 , pp. 489-562
    • McKean, H.P.1    Vaninsky, K.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.