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Funktsional. Anal. i Prilozhen., 2000, Volume 34, Issue 1, Pages 65–75 (Mi faa283)  

This article is cited in 3 scientific papers (total in 3 papers)

An Initial-Boundary Value Problem on the Half-Line for the MKdV Equation

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: The initial-boundary value problem on the half-line for the modified Korteweg–de Vries equation with zero boundary conditions and arbitrary rapidly decaying initial conditions is embedded in the scheme of the inverse scattering method. The corresponding inverse scattering problem is reduced to the Riemann problem on a system of rays in the complex plane.

DOI: https://doi.org/10.4213/faa283

Full text: PDF file (1083 kB)
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English version:
Functional Analysis and Its Applications, 2000, 34:1, 52–59

Bibliographic databases:

UDC: 517.9
Received: 18.05.1998

Citation: I. T. Habibullin, “An Initial-Boundary Value Problem on the Half-Line for the MKdV Equation”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 65–75; Funct. Anal. Appl., 34:1 (2000), 52–59

Citation in format AMSBIB
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\paper An Initial-Boundary Value Problem on the Half-Line for the MKdV Equation
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\jour Funct. Anal. Appl.
\yr 2000
\vol 34
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\pages 52--59
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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. De Monvel A.B., Fokas A.S., Shepelsky D., “The Mkdv Equation on the Half-Line”, J. Inst. Math. Jussieu, 3:2 (2004), 139–164  crossref  mathscinet  zmath  isi  scopus
    2. de Monvel, AB, “Characteristic properties of the scattering data for the mKdV equation on the half-line”, Communications in Mathematical Physics, 253:1 (2005), 51  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Hu B.-B., Xia T.-Ch., Ma W.-X., “Riemann–Hilbert Approach For An Initial-Boundary Value Problem of the Two-Component Modified Korteweg-de Vries Equation on the Half-Line”, Appl. Math. Comput., 332 (2018), 148–159  crossref  mathscinet  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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