Functional Analysis and Its Applications

, Volume 34, Issue 1, pp 52–59 | Cite as

An initial-boundary value problem on the half-line for the MKdV equation

  • I. T. Habibullin


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.


Riemann Problem MKdV Equation Inverse Scattering Problem Inverse Scattering Method Inverse Scatter Problem 
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© Kluwer Academic/Plenum Publishers 2000

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  • I. T. Habibullin

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