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Funktsional'nyi Analiz i ego Prilozheniya, 1979, Volume 13, Issue 3, Pages 13–22 (Mi faa1913)  

This article is cited in 546 scientific papers (total in 546 papers)

Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II

V. E. Zakharov, A. B. Shabat
References:
Received: 14.06.1978
English version:
Functional Analysis and Its Applications, 1979, Volume 13, Issue 3, Pages 166–174
DOI: https://doi.org/10.1007/BF01077483
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. E. Zakharov, A. B. Shabat, “Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II”, Funktsional. Anal. i Prilozhen., 13:3 (1979), 13–22; Funct. Anal. Appl., 13:3 (1979), 166–174
Citation in format AMSBIB
\Bibitem{ZakSha79}
\by V.~E.~Zakharov, A.~B.~Shabat
\paper Integration of nonlinear equations of mathematical physics by the method of inverse scattering.~II
\jour Funktsional. Anal. i Prilozhen.
\yr 1979
\vol 13
\issue 3
\pages 13--22
\mathnet{http://mi.mathnet.ru/faa1913}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=545363}
\zmath{https://zbmath.org/?q=an:0448.35090}
\transl
\jour Funct. Anal. Appl.
\yr 1979
\vol 13
\issue 3
\pages 166--174
\crossref{https://doi.org/10.1007/BF01077483}
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  • https://www.mathnet.ru/eng/faa1913
  • https://www.mathnet.ru/eng/faa/v13/i3/p13
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    3. Jörg Hennig, “Soliton methods and the black hole balance problem”, Wave Motion, 2025, 103490  crossref
    4. Jessica Trespalacios, “Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons”, Ann. Henri Poincaré, 2024  crossref
    5. Guixian Wang, Xiu-Bin Wang, Bo Han, “Inverse scattering transform for the nonlocal Gerdjikov–Ivanov equation with simple and double poles”, Nonlinear Dyn, 112:8 (2024), 6517  crossref
    6. Alexei Cheviakov, Peng Zhao, CMS/CAIMS Books in Mathematics, 10, Analytical Properties of Nonlinear Partial Differential Equations, 2024, 79  crossref
    7. Aleksander Aleksiev Stefanov, “New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A2(1)”, Dynamics, 4:1 (2024), 81  crossref
    8. Guixian Wang, Xiu-Bin Wang, Haie Long, Bo Han, “Simple and high-order N-solitons of the nonlocal generalized Sasa–Satsuma equation via an improved Riemann–Hilbert method”, Z. Angew. Math. Phys., 75:3 (2024)  crossref
    9. B G Konopelchenko, W K Schief, “Canonical reductions of the TED equation: integrable deformations of heavenly-type equations”, J. Phys. A: Math. Theor., 57:12 (2024), 125005  crossref
    10. Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang, Tian-Tian Zhang, “Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries Equation”, Qual. Theory Dyn. Syst., 23:3 (2024)  crossref
    11. Hongyi Zhang, Yufeng Zhang, Huanhuan Lu, “The nonlinear Riemann–Hilbert problems for a new general Pavlov equation”, Chaos, Solitons & Fractals, 185 (2024), 115189  crossref
    12. M Bertola, T Grava, G Orsatti, “Integrable operators,
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    13. Petya Nedkova, Stoytcho Yazadjiev, Lecture Notes in Physics, 1031, Mathematical Theory of Black Holes in Higher Dimensions, 2024, 95  crossref
    14. Huanhuan Lu, Xinan Ren, Yufeng Zhang, Hongyi Zhang, “The Riemann Hilbert dressing method and wave breaking for two (2 + 1)-dimensional integrable equations”, Journal of Nonlinear, Complex and Data Science, 25:2 (2024), 261  crossref
    15. L. V. Bogdanov, “On some linear equations associated with dispersionless integrable systems”, Theoret. and Math. Phys., 221:1 (2024), 1589–1602  mathnet  crossref  crossref  mathscinet  adsnasa
    16. Xiao-ming Zhu, Jian-bing Zhang, Shou-ting Chen, Boris G. Konopelchenko, “The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy”, Advances in Mathematical Physics, 2024:1 (2024)  crossref
    17. Zheng Wang, Chuanzhong Li, “On noncommutative modified KP systems”, Theoret. and Math. Phys., 221:2 (2024), 1882–1900  mathnet  crossref  crossref  adsnasa
    18. Boris Kruglikov, Omid Makhmali, “Zero‐curvature subconformal structures and dispersionless integrability in dimension five”, Journal of London Math Soc, 110:6 (2024)  crossref
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    20. M. A. Shumkin, “Kriterii lokalnosti matrichnykh solitonnykh uravnenii”, Tr. MMO, 84, no. 2, MTsNMO, M., 2023, 231–242  mathnet
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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