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math.AP2007
Solutions with Vortices of a Semi-Stiff Boundary Value Problem for the Ginzburg-Landau Equation
L. Berlyand, V. Rybalko
We study solutions of the 2D Ginzburg-Landau equation -Δu+\frac{1}{\ve^2}u(|u|^2-1)=0 subject to "semi-stiff" boundary conditions: the Dirichlet condition for the modulus, |u|=1, a…
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…