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KDV equation on a half-line with the zero boundary condition

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Abstract

We solve the mixed problem for the KdV equation with the boundary condition u|x=0=0, uxx|x=0=0 using the inverse scattering method. The time evolution of the scattering matrix is efficiently defined from the consistency condition for the spectra of two differential operators giving the L-A pair.

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Authors and Affiliations

  1. Institute of Mathematics, Ufa Science Center, RAS, Russia

    I. T. Khabibullin

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  1. I. T. Khabibullin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 397–404, June, 1999

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Khabibullin, I.T. KDV equation on a half-line with the zero boundary condition. Theor Math Phys 119, 712–718 (1999). https://doi.org/10.1007/BF02557381

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  • DOI: https://doi.org/10.1007/BF02557381

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