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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 1, Pages 43–52 (Mi tmf5419)  

This article is cited in 35 scientific papers (total in 35 papers)

Integrable initial-boundary-value problems

I. T. Habibullin
References:
Abstract: Initial-boundary-value problems on a half-axis for integrable equations are considered. Solutions of an initial-boundary-value problem for the nonlinear Schrödinger equation and the sine-Gordon equation for definite types of boundary conditions are described in terms of scattering data.
Received: 30.05.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 86, Issue 1, Pages 28–36
DOI: https://doi.org/10.1007/BF01018494
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “Integrable initial-boundary-value problems”, TMF, 86:1 (1991), 43–52; Theoret. and Math. Phys., 86:1 (1991), 28–36
Citation in format AMSBIB
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\by I.~T.~Habibullin
\paper Integrable initial-boundary-value problems
\jour TMF
\yr 1991
\vol 86
\issue 1
\pages 43--52
\mathnet{http://mi.mathnet.ru/tmf5419}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1106826}
\zmath{https://zbmath.org/?q=an:0728.35114}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 1
\pages 28--36
\crossref{https://doi.org/10.1007/BF01018494}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GC79000004}
Linking options:
  • https://www.mathnet.ru/eng/tmf5419
  • https://www.mathnet.ru/eng/tmf/v86/i1/p43
  • This publication is cited in the following 35 articles:
    1. V.V. Kiselev, A.A. Raskovalov, “Solitons in the semi-infinite ferromagnets with the different types of anisotropy”, Annals of Physics, 475 (2025), 169933  crossref
    2. A. Chatziafratis, A.S. Fokas, K. Kalimeris, “The Fokas method for evolution partial differential equations”, Partial Differential Equations in Applied Mathematics, 2025, 101144  crossref
    3. V. V. Kiselev, “Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type”, Theoret. and Math. Phys., 219:1 (2024), 576–597  mathnet  crossref  crossref  mathscinet  adsnasa
    4. V. V. Kiselev, “Nonlinear dynamics of a two-axis ferromagnet on the semiaxis”, Theoret. and Math. Phys., 220:3 (2024), 1440–1470  mathnet  crossref  crossref  mathscinet  adsnasa
    5. V. V. Kiselev, “Nonlinear Dynamics of a Heisenberg Ferromagnet on the Semiaxis”, J. Exp. Theor. Phys., 136:3 (2023), 330  crossref
    6. V. V. Kiselev, A. A. Raskovalov, “Interaction of Solitons with the Boundary of a Ferromagnetic Plate”, J. Exp. Theor. Phys., 135:5 (2022), 676  crossref
    7. Asela Abeya, Gino Biondini, Barbara Prinari, “Manakov system with parity symmetry on nonzero background and associated boundary value problems”, J. Phys. A: Math. Theor., 55:25 (2022), 254001  crossref
    8. Lima F.C. Simas F.C. Nobrega K.Z. Gomes A.R., “Boundary Scattering in the Phi(6) Model”, J. High Energy Phys., 2019, no. 10, 147  crossref  isi
    9. Vincent Caudrelier, Nicolas Crampé, “New integrable boundary conditions for the Ablowitz–Ladik model: From Hamiltonian formalism to nonlinear mirror image method”, Nuclear Physics B, 946 (2019), 114720  crossref
    10. Jean Avan, Vincent Caudrelier, Nicolas Crampé, “From Hamiltonian to zero curvature formulation for classical integrable boundary conditions”, J. Phys. A: Math. Theor., 51:30 (2018), 30LT01  crossref
    11. Shou-Fu Tian, “Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method”, J. Phys. A: Math. Theor., 50:39 (2017), 395204  crossref
    12. Gino Biondini, Anh Bui, “The Ablowitz–Ladik system with linearizable boundary conditions”, J. Phys. A: Math. Theor., 48:37 (2015), 375202  crossref
    13. A S Fokas, S De Lillo, “The unified transform for linear, linearizable and integrable nonlinear partial differential equations”, Phys. Scr., 89:3 (2014), 038004  crossref
    14. Aguirre A.R., Gomes J.F., Ymai L.H., Zimerman A.H., “N=1 Super Sinh-Gordon Model in the Half Line: Breather Solutions”, J. High Energy Phys., 2013, no. 4, 136  crossref  isi
    15. V Caudrelier, N Crampé, Q C Zhang, “Set-theoretical reflection equation: classification of reflection maps”, J. Phys. A: Math. Theor., 46:9 (2013), 095203  crossref
    16. Biondini G. Bui A., “On the Nonlinear Schrodinger Equation on the Half Line with Homogeneous Robin Boundary Conditions”, Stud. Appl. Math., 129:3 (2012), 249–271  crossref  isi
    17. V Caudrelier, Q C Zhang, “Vector nonlinear Schrödinger equation on the half-line”, J. Phys. A: Math. Theor., 45:10 (2012), 105201  crossref
    18. Alexis Roa Aguirre, “Inverse scattering approach for massive Thirring models with integrable type-II defects”, J. Phys. A: Math. Theor., 45:20 (2012), 205205  crossref
    19. Gino Biondini, Guenbo Hwang, “The Ablowitz-Ladik system on the natural numbers with certain linearizable boundary conditions”, Applicable Analysis, 89:4 (2010), 627  crossref
    20. Shamsutdinov, MA, “Dynamics of magnetic kinks in exchange-coupled ferromagnetic layers”, Physics of Metals and Metallography, 108:4 (2009), 327  crossref  adsnasa  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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