Geodesic
KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions
A. Sakhnovich1
1 Department of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 2, pp. 131-145.

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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.
DOI : 10.1051/mmnp/20127211

A. Sakhnovich 1

1 Department of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria 
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A. Sakhnovich. KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 2, pp. 131-145. doi : 10.1051/mmnp/20127211. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127211/

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