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math.AP2003★ 4 cited
The mKdV equation on a finite interval
Anne Boutet de Monvel, Dmitry Shepelsky
We analyse an initial-boundary value problem for the mKdV equation on a finite interval by expressing the solution in terms of the solution of an associated matrix Riemann-Hilbert…
math.AP2003
Characteristic properties of the scattering data for the mKdV equation on the half-line
Anne Boutet de Monvel, Vladimir Kotlyarov
In this paper we describe characteristic properties of the scattering data of the compatible eigenvalue problem for the pair of differential equations related to the modified Korte…
math.AP2002
Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation
A. Boutet de Monvel, E. Khruslov, V. Kotlyarov
We construct non-localized, real global solutions of the Kadomtsev-Petviashvili-I equation which vanish for and study their large time asymptotic behavior. We prove t…