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Volumn 140, Issue 2, 1996, Pages 335-358

On the Korteweg-de Vries equation: Convergent birkhoff normal form

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EID: 16144366994     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0111     Document Type: Article
Times cited : (4)

References (17)
  • 1
    • 84974003856 scopus 로고
    • On the symplectic structure of the phase space for periodic KdV, toda and defocusing NLS
    • [BBGK] D. Bättig, A. Bloch, J.-C. Guillot, and T. Kappeler, On the symplectic structure of the phase space for periodic KdV, Toda and defocusing NLS, Duke Math. J. 79 (1995), 549-604.
    • (1995) Duke Math. J. , vol.79 , pp. 549-604
    • Bättig, D.1    Bloch, A.2    Guillot, J.-C.3    Kappeler, T.4
  • 2
    • 85029970594 scopus 로고    scopus 로고
    • On the Korteweg-de Vries equation: Frequencies and initial value problem
    • in press
    • [BKM] D. Bättig, T. Kappeler, and B. Mityagin, On the Korteweg-de Vries equation: frequencies and initial value problem, PJM, in press.
    • PJM
    • Bättig, D.1    Kappeler, T.2    Mityagin, B.3
  • 3
    • 0000534537 scopus 로고
    • Integrable systems I
    • "Dynamical Systems IV" (V. I. Arnold and S. P. Novikov, Eds.), Springer-Verlag, Berlin
    • [DKN] B. A. Dubrovnin, I. M. Krichever, and S. P. Novikov, Integrable systems I, in "Dynamical Systems IV" (V. I. Arnold and S. P. Novikov, Eds.), Encycl. of Math. Sci., Springer-Verlag, Berlin, 1990.
    • (1990) Encycl. of Math. Sci.
    • Dubrovnin, B.A.1    Krichever, I.M.2    Novikov, S.P.3
  • 4
    • 0001155544 scopus 로고
    • Geometry of KdV(4). Abel sums, Jacobi variety and theta function in the scattering case
    • [EM] N. Ercolani and H. P. McKean, Geometry of KdV(4). Abel sums, Jacobi variety and theta function in the scattering case, Invent. Math. 99 (1990), 483-544.
    • (1990) Invent. Math. , vol.99 , pp. 483-544
    • Ercolani, N.1    McKean, H.P.2
  • 5
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
    • [FFM] H. Flaschka, M. G. Forest, and D. McLaughlin, Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation, CPAM 33 (1988), 739-784.
    • (1988) CPAM , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.3
  • 6
    • 0001037331 scopus 로고
    • Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions
    • [ FM ] H. Flaschka and D. McLaughlin, Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions, Progress of Theor. Phys. 55 (1976), 438-456.
    • (1976) Progress of Theor. Phys. , vol.55 , pp. 438-456
    • Flaschka, H.1    McLaughlin, D.2
  • 7
    • 51249173364 scopus 로고
    • Gaps and bands of one dimensional Schrödinger operators, II
    • [GT] J. Garnett and E. Trubowitz, Gaps and bands of one dimensional Schrödinger operators, II, Comment. Math. Helv. 62 (1987), 18-37.
    • (1987) Comment. Math. Helv. , vol.62 , pp. 18-37
    • Garnett, J.1    Trubowitz, E.2
  • 8
    • 51249174723 scopus 로고
    • Convergence of Birkhoff normal forms for integrable systems
    • [It] H. Ito, Convergence of Birkhoff normal forms for integrable systems, Comm. Math. Helv. 64 (1989), 412-461.
    • (1989) Comm. Math. Helv. , vol.64 , pp. 412-461
    • Ito, H.1
  • 9
    • 0000928116 scopus 로고
    • Fibration of the phase-space for the Korteweg-de Vries equation
    • [Ka] T. Kappeler, Fibration of the phase-space for the Korteweg-de Vries equation, Ann. Inst. Fourier 41 (1991), 539-575.
    • (1991) Ann. Inst. Fourier , vol.41 , pp. 539-575
    • Kappeler, T.1
  • 10
    • 0347473179 scopus 로고
    • Perturbtation theory for quasiperiodic solutions of infinite-dimensional hamiltonian systems and its application to the Korteweg-de Vries equation
    • [Ku1] S. Kuksin, Perturbtation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation, Math. USSR Sbornik 64 (1989), 397-413.
    • (1989) Math. USSR Sbornik , vol.64 , pp. 397-413
    • Kuksin, S.1
  • 11
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional hamiltonian systems
    • Springer-Verlag, Berlin
    • [Ku2] S. Kuksin, "Nearly Integrable Infinite-Dimensional Hamiltonian Systems," Lecture Notes Math. 1556, Springer-Verlag, Berlin, 1993.
    • (1993) Lecture Notes Math. , pp. 1556
    • Kuksin, S.1
  • 14
    • 84980167496 scopus 로고
    • Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
    • [MTI] H. P. McKean and E. Trubowitz, Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, CPAM 24 (1976), 143-226.
    • (1976) CPAM , vol.24 , pp. 143-226
    • McKean, H.P.1    Trubowitz, E.2
  • 15
    • 0000581658 scopus 로고
    • Hill's surfaces and their theta functions
    • [MT2] H. P. McKean and E. Trubowitz, Hill's surfaces and their theta functions, Bull. AMS 84 (1978), 1042-1085.
    • (1978) Bull. AMS , vol.84 , pp. 1042-1085
    • McKean, H.P.1    Trubowitz, E.2
  • 17
    • 0000132941 scopus 로고
    • Sur certains systèmes dynamiques séparables
    • [Ve] J. Vey, "Sur certains systèmes dynamiques séparables," Amer. J. Math. 100 (1978), 591-614.
    • (1978) Amer. J. Math. , vol.100 , pp. 591-614
    • Vey, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.