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Volumn 24, Issue 4, 2001, Pages 245-254

Inverse scattering for the non-linear Schrodinger equation: Reconstruction of the potential and the non-linearity

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; INVERSE PROBLEMS; MATHEMATICAL OPERATORS; SCATTERING;

EID: 0034831729     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.216     Document Type: Article
Times cited : (45)

References (31)
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    • (1964) Trudy Mathematicheskogo Institute Imeni V.A. Steklov , vol.73 , pp. 314-333
    • Faddeev, L.D.1
  • 8
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    • English translation
    • Faddeev LD. Properties of the S matrix of the one-dimensional Schrödinger equation. Trudy Mathematicheskogo Institute imeni V.A. Steklov 1964; 73:314-333 [English translation: American Mathematical Society Translation Series 2 1964; 65:139-166.]
    • (1964) American Mathematical Society Translation Series 2 , vol.65 , pp. 139-166
  • 9
    • 0002477276 scopus 로고
    • Inverse problems of quantum scattering theory, II
    • Faddeev LD. Inverse problems of quantum scattering theory, II, Itogi Nauki i Tekhniki Sovremennye Problemy Matematiki 1974; 3:93-180 [English translation: Journal of Soviet Mathematics 1976; 5:334-396.]
    • (1974) Itogi Nauki i Tekhniki Sovremennye Problemy Matematiki , vol.3 , pp. 93-180
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    • English translation
    • Faddeev LD. Inverse problems of quantum scattering theory, II, Itogi Nauki i Tekhniki Sovremennye Problemy Matematiki 1974; 3:93-180 [English translation: Journal of Soviet Mathematics 1976; 5:334-396.]
    • (1976) Journal of Soviet Mathematics , vol.5 , pp. 334-396
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    • 0034410054 scopus 로고    scopus 로고
    • Inverse scattering on the Line for the nonlinear Klein-Gordon equation with a potential
    • Weder R. Inverse scattering on the Line for the nonlinear Klein-Gordon equation with a potential. Journal of Mathematical Analysis and Applications, 2000; 252:102-123.
    • (2000) Journal of Mathematical Analysis and Applications , vol.252 , pp. 102-123
    • Weder, R.1
  • 15
    • 0001684805 scopus 로고
    • Nonlinear scattering at low energy: Sequel
    • Strauss WA. Nonlinear scattering at low energy: sequel. Journal of Functional Analysis 1981; 43:281-293.
    • (1981) Journal of Functional Analysis , vol.43 , pp. 281-293
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    • Inverse scattering for the nonlinear Schrödinger equation
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    • (1997) Communications in Partial Differential Equations , vol.22 , pp. 2089-2103
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    • Reconstruction of a potential on the line that is a priori known on the half-line
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