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.
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Additional information
Supported by the Russian Foundation for Basic Research under grant 98-01-00576.
Mathematical Institute, Russian Academy of Sciences, Ufa; e-mail: ihabib@imat.rb.ru. Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 34, No. 1, pp. 65–75, January–March, 2000.
Translated by I. T. Habibullin
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Habibullin, I.T. An initial-boundary value problem on the half-line for the MKdV equation. Funct Anal Its Appl 34, 52–59 (2000). https://doi.org/10.1007/BF02467067
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DOI: https://doi.org/10.1007/BF02467067