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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 257–276
DOI: https://doi.org/10.4213/tmf1851 (Mi tmf1851) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential

M. Boitia, F. Pempinellia, A. K. Pogrebkovb, B. Prinaria

a Lecce University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (288 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1851
Abstract: We consider the nonstationary Schrodinger equation with the potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function in the framework of the extended resolvent approach. We give the corresponding modification of the Jost and advanced/retarded solutions and spectral data and present relations between them.
Keywords: inverse scattering transform, resolvent approach, Kadomtsev–Petviashvili equation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1100–1116
DOI: https://doi.org/10.1007/s11232-005-0139-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential”, TMF, 144:2 (2005), 257–276; Theoret. and Math. Phys., 144:2 (2005), 1100–1116
Citation in format AMSBIB
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\paper Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
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\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1100--1116
\crossref{https://doi.org/10.1007/s11232-005-0139-1}
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  • https://www.mathnet.ru/eng/tmf1851
  • https://doi.org/10.4213/tmf1851
  • https://www.mathnet.ru/eng/tmf/v144/i2/p257
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :189
    References:62
    First page:2
     
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