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TMF, 1991, Volume 86, Number 1, Pages 43–52 (Mi tmf5419)  

This article is cited in 13 scientific papers (total in 13 papers)

Integrable initial-boundary-value problems

I. T. Habibullin


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.

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English version:
Theoretical and Mathematical Physics, 1991, 86:1, 28–36

Bibliographic databases:

Received: 30.05.1990

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
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\mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GC79000004}


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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. T. Habibullin, “Boundary-value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method”, Theoret. and Math. Phys., 91:3 (1992), 581–590  mathnet  crossref  mathscinet  zmath  isi
    2. I. T. Habibullin, “Boundary conditions for nonlinear equations compatible with integrability”, Theoret. and Math. Phys., 96:1 (1993), 845–853  mathnet  crossref  mathscinet  zmath  isi
    3. V. V. Gudkov, “Explicit form of the wave solutions of evolution equations”, Comput. Math. Math. Phys., 36:3 (1996), 335–340  mathnet  mathscinet  zmath  isi
    4. V. E. Adler, I. T. Habibullin, A. B. Shabat, “Boundary value problem for the KdV equation on a half-line”, Theoret. and Math. Phys., 110:1 (1997), 78–90  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. I. T. Habibullin, “Sine-Gordon equation on the semi-axis”, Theoret. and Math. Phys., 114:1 (1998), 90–98  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. I. T. Habibullin, “KdV equation on a half-line with the zero boundary condition”, Theoret. and Math. Phys., 119:3 (1999), 712–718  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. I. T. Habibullin, “An Initial-Boundary Value Problem on the Half-Line for the MKdV Equation”, Funct. Anal. Appl., 34:1 (2000), 52–59  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    8. Gurses, M, “Integrable boundary value problems for elliptic type Toda lattice in a disk”, Journal of Mathematical Physics, 48:10 (2007), 102702  crossref  mathscinet  adsnasa  isi
    9. Kundu, A, “Changing Solitons in Classical & Quantum Integrable Defect and Variable Mass sine-Gordon Model”, Journal of Nonlinear Mathematical Physics, 15 (2008), 237  crossref  mathscinet  adsnasa  isi
    10. Shamsutdinov, MA, “Dynamics of magnetic kinks in exchange-coupled ferromagnetic layers”, Physics of Metals and Metallography, 108:4 (2009), 327  crossref  adsnasa  isi
    11. 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
    12. 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
    13. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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