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KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions
Published online by Cambridge University Press: 29 February 2012
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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- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 2: Solitary waves , 2012 , pp. 131 - 145
- Copyright
- © EDP Sciences, 2012
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