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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 54, Number 1, Pages 23–37 (Mi tmf4361)  
This article is cited in 9 scientific papers (total in 9 papers)

Application of inverse scattering method to singular solutions of nonlinear equations. II

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov
Full-text PDF (1424 kB) Citations (9)
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Abstract: The inverse scattering method is generalized to the case of the Zakharov–Shabat system with singular potentials.
Received: 15.10.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 54, Issue 1, Pages 12–22
DOI: https://doi.org/10.1007/BF01017119
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Application of inverse scattering method to singular solutions of nonlinear equations. II”, TMF, 54:1 (1983), 23–37; Theoret. and Math. Phys., 54:1 (1983), 12–22
Citation in format AMSBIB
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\paper Application of inverse scattering method to singular solutions of nonlinear equations. II
\jour TMF
\yr 1983
\vol 54
\issue 1
\pages 23--37
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=704007}
\zmath{https://zbmath.org/?q=an:0586.35075}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 1
\pages 12--22
\crossref{https://doi.org/10.1007/BF01017119}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RF77900002}
Linking options:
  • https://www.mathnet.ru/eng/tmf4361
  • https://www.mathnet.ru/eng/tmf/v54/i1/p23
    Cycle of papers
    This publication is cited in the following 9 articles:
    1. A. A. Raskovalov, A. A. Gelash, “Resonanse interaction of breathers in the Manakov system”, Theoret. and Math. Phys., 213:3 (2022), 1669–1685  mathnet  crossref  crossref  mathscinet  adsnasa
    2. S. Yu. Dobrokhotov, “Integrability of truncated Hugoniot–Maslov chains for trajectories of mesoscale vortices on shallow water”, Theoret. and Math. Phys., 125:3 (2000), 1724–1741  mathnet  crossref  crossref  mathscinet  zmath
    3. S. Yu. Dobrokhotov, “Reduction of Hugoniot–Maslov chains for trajectories of solitary vortices of the “shallow water” equations to the Hill equation”, Theoret. and Math. Phys., 112:1 (1997), 827–843  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. V. O. Tarasov, “Boundary-value problem for the nonlinear Schr�dinger equation”, J Math Sci, 54:3 (1991), 958  crossref
    5. I. T. Habibullin, A. G. Shagalov, “Numerical realization of the inverse scattering method”, Theoret. and Math. Phys., 83:3 (1990), 565–573  mathnet  crossref  mathscinet  zmath  isi
    6. P. N. Bibikov, V. O. Tarasov, “Boundary-value problem for nonlinear Schrödinger equation”, Theoret. and Math. Phys., 79:3 (1989), 570–579  mathnet  crossref  mathscinet  zmath  isi
    7. V A Arkadiev, A K Pogrebkov, M C Polivanov, “Closed string-like solutions of the Davey-Stewartson equation”, Inverse Problems, 5:1 (1989), L1  crossref
    8. V.A. Arkadiev, A.K. Pogrebkov, M.C. Polivanov, “Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation”, Physica D: Nonlinear Phenomena, 36:1-2 (1989), 189  crossref
    9. V. A. Arkad'ev, “Application of inverse scattering method to singular solutions of nonlinear equations. III”, Theoret. and Math. Phys., 58:1 (1984), 24–32  mathnet  crossref  mathscinet  zmath  isi
    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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