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Volumn 25, Issue 3-4, 2001, Pages 201-237

Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system

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EID: 0346526203     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (18)
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  • 3
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  • 6
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    • Gap estimates of the spectrum of the Zakhavov-Shabat system
    • B. Grébert, T. Kappeler and B. Mityagin, Gap estimates of the spectrum of the Zakhavov-Shabat system, Appl. Math. Lett. 11 (1998), 95-97.
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    • Grébert, B.1    Kappeler, T.2    Mityagin, B.3
  • 9
    • 34249767027 scopus 로고
    • Morse and Melnikov functions for NLS PDE's
    • Y. Li and D.W. McLaughlin, Morse and Melnikov functions for NLS PDE's, Comm. Math. Phys. 162 (1994), 175-214.
    • (1994) Comm. Math. Phys. , vol.162 , pp. 175-214
    • Li, Y.1    McLaughlin, D.W.2
  • 10
    • 0019625186 scopus 로고
    • The periodic cubic Schrödinger equation
    • Y.C. Ma and M.I. Ablowitz, The periodic cubic Schrödinger equation, Stud. Appl. Math. 65 (1981), 113-158.
    • (1981) Stud. Appl. Math. , vol.65 , pp. 113-158
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  • 11
    • 0003347279 scopus 로고
    • Sturm-Liouville Operators and Applications
    • Birkhäuser
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  • 12
    • 0010118175 scopus 로고
    • Properties of the spectra of periodic and antiperiodic boundary value problems generated by Dirac operators I, II
    • T.V. Misyura, Properties of the spectra of periodic and antiperiodic boundary value problems generated by Dirac operators I, II (in Russian), Tear. Funktsii Funktsional. Anal, i Prilozhen. 30 (1978), 90-101; 31 (1979), 102-109; Finite-zone Dirac operators, Teor. Funktsii Funktsional. Anal, i Prilozhen. 33 (1980), 107-111 (in Russian).
    • (1978) Tear. Funktsii Funktsional. Anal, i Prilozhen. , vol.30 , pp. 90-101
    • Misyura, T.V.1
  • 13
    • 0000894032 scopus 로고
    • T.V. Misyura, Properties of the spectra of periodic and antiperiodic boundary value problems generated by Dirac operators I, II (in Russian), Tear. Funktsii Funktsional. Anal, i Prilozhen. 30 (1978), 90-101; 31 (1979), 102-109; Finite-zone Dirac operators, Teor. Funktsii Funktsional. Anal, i Prilozhen. 33 (1980), 107-111 (in Russian).
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    • in Russian
    • T.V. Misyura, Properties of the spectra of periodic and antiperiodic boundary value problems generated by Dirac operators I, II (in Russian), Tear. Funktsii Funktsional. Anal, i Prilozhen. 30 (1978), 90-101; 31 (1979), 102-109; Finite-zone Dirac operators, Teor. Funktsii Funktsional. Anal, i Prilozhen. 33 (1980), 107-111 (in Russian).
    • (1980) Teor. Funktsii Funktsional. Anal, i Prilozhen. , vol.33 , pp. 107-111
  • 15
    • 0001802859 scopus 로고    scopus 로고
    • Spectral properties of non-selfadjoint Hill's operators with smooth potentials
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    • A scheme for integrating nonlinear equations of mathematical physics by the method of the inverse scattering problem
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