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arXiv · 1107.1982

KdV equation in the quarter--plane: evolution of the Weyl functions and unbounded solutions

Alexander Sakhnovich
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Abstract

The matrix KdV equation with a negative dispersion term is considered in the right upper quarter--plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linear system. Using the low energy asymptotics of the Weyl functions, the unboundedness of solutions is obtained for some classes of the initial--boundary conditions.

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Alexander Sakhnovich. 2011-07-11. KdV equation in the quarter--plane: evolution of the Weyl functions and unbounded solutions. https://arxiv.org/abs/1107.1982

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