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Funktsional. Anal. i Prilozhen., 1975, Volume 9, Issue 3, Pages 75–78 (Mi faa2266)  

This article is cited in 18 scientific papers (total in 18 papers)

Inverse-scattering problem for a system of differential equations

A. B. Shabat


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English version:
Functional Analysis and Its Applications, 1975, 9:3, 244–247

Bibliographic databases:

Received: 22.11.1975

Citation: A. B. Shabat, “Inverse-scattering problem for a system of differential equations”, Funktsional. Anal. i Prilozhen., 9:3 (1975), 75–78; Funct. Anal. Appl., 9:3 (1975), 244–247

Citation in format AMSBIB
\Bibitem{Sha75}
\by A.~B.~Shabat
\paper Inverse-scattering problem for a system of differential equations
\jour Funktsional. Anal. i Prilozhen.
\yr 1975
\vol 9
\issue 3
\pages 75--78
\mathnet{http://mi.mathnet.ru/faa2266}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=397074}
\zmath{https://zbmath.org/?q=an:0352.34020}
\transl
\jour Funct. Anal. Appl.
\yr 1975
\vol 9
\issue 3
\pages 244--247
\crossref{https://doi.org/10.1007/BF01075603}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. V. Cherednik, “Conservation laws and elements of scattering theory for principal chiral fields ($d=1$)”, Theoret. and Math. Phys., 41:2 (1979), 997–1002  mathnet  crossref  mathscinet  isi
    2. A. R. Its, ““Isomonodromy” solutions of equations of zero curvature”, Math. USSR-Izv., 26:3 (1986), 497–529  mathnet  crossref  mathscinet  zmath
    3. V. V. Sukhanov, “Large time asymptotics for principal chiral field”, Theoret. and Math. Phys., 84:1 (1990), 689–699  mathnet  crossref  mathscinet  isi
    4. A. R. Its, N. A. Slavnov, “On the Riemann–Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case”, Theoret. and Math. Phys., 119:2 (1999), 541–593  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. Vladimir S. Gerdjikov, Nikolay A. Kostov, Tihomir I. Valchev, “$N$-Wave Equations with Orthogonal Algebras: $\mathbb Z_2$ and $\mathbb Z_2\times\mathbb Z_2$ Reductions and Soliton Solutions”, SIGMA, 3 (2007), 039, 19 pp.  mathnet  crossref  mathscinet  zmath
    6. Vladimir S. Gerdjikov, Nikolay A. Kostov, “Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type”, SIGMA, 4 (2008), 029, 30 pp.  mathnet  crossref  mathscinet  zmath
    7. D. J. Kaup, “Integrable systems and squared eigenfunctions”, Theoret. and Math. Phys., 159:3 (2009), 806–818  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. V. S. Gerdjikov, G. G. Grahovski, “Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory”, SIGMA, 6 (2010), 044, 29 pp.  mathnet  crossref  mathscinet
    9. R. F. Bikbaev, A. I. Bobenko, A. R. Its, “Landau–Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions”, Theoret. and Math. Phys., 178:2 (2014), 143–193  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. M. Sh. Badakhov, O. Yu. Veremeenko, A. B. Shabat, “Ob asimptotike obobschennykh sobstvennykh znachenii operatora Shredingera”, Vladikavk. matem. zhurn., 16:4 (2014), 9–15  mathnet
    11. A. B. Shabat, “Scattering theory for delta-type potentials”, Theoret. and Math. Phys., 183:1 (2015), 540–552  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    12. A. B. Shabat, “Difference Schrödinger equation and quasisymmetric polynomials”, Theoret. and Math. Phys., 184:2 (2015), 1067–1077  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    13. A. B. Shabat, “Inverse spectral problem for delta potentials”, JETP Letters, 102:9 (2015), 620–623  mathnet  crossref  crossref  isi  elib
    14. V. S. Gerdjikov, G. G. Grahovski, R. I. Ivanov, “The $N$-wave equations with $\mathcal{PT}$ symmetry”, Theoret. and Math. Phys., 188:3 (2016), 1305–1321  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    15. A. B. Shabat, “Constructive scattering theory”, Theoret. and Math. Phys., 193:1 (2017), 1420–1428  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    16. Ismailov M.I., “Inverse Scattering on the Half-Line For a First-Order System With a General Boundary Condition”, Ann. Henri Poincare, 18:8 (2017), 2621–2639  crossref  isi
    17. G. G. Grahovski, A. Mohammed, H. Susanto, “Nonlocal reductions of the Ablowitz–Ladik equation”, Theoret. and Math. Phys., 197:1 (2018), 1412–1429  mathnet  crossref  crossref  adsnasa  isi  elib
    18. G. G. Grahovski, A. J. Mustafa, H. Susanto, “Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces”, Theoret. and Math. Phys., 197:1 (2018), 1430–1450  mathnet  crossref  crossref  adsnasa  isi  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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