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Boundary value problem for the KDV equation on a half-line

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Abstract

The L-A pair corresponding to the boundary value problem with the conditionu| x=0=a for the KdV equation is presented. A broad class of exact solutions to this equation is constructed and the conservation laws are discussed.

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Authors and Affiliations

  1. Mathematical Institute, Ufa Scientific Center for the Russian Academy of Sciences, USSR

    V. E. Adler & L. T. Habibullin

  2. L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, USSR

    A. B. Shabat

Authors
  1. V. E. Adler
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  2. L. T. Habibullin
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  3. A. B. Shabat
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 110, No. 1, pp. 98–113, January, 1997.

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Adler, V.E., Habibullin, L.T. & Shabat, A.B. Boundary value problem for the KDV equation on a half-line. Theor Math Phys 110, 78–90 (1997). https://doi.org/10.1007/BF02630371

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  • DOI: https://doi.org/10.1007/BF02630371

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