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- Title
KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions.
- Authors
Sakhnovich, A.
- 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.
- Subjects
KORTEWEG-de Vries equation; BLOWING up (Algebraic geometry); NONLINEAR equations; SOLITONS; NUMERICAL solutions to evolution equations; GRAVITY assist (Astrodynamics)
- Publication
Mathematical Modelling of Natural Phenomena, 2012, Vol 7, Issue 2, p131
- ISSN
0973-5348
- Publication type
Article
- DOI
10.1051/mmnp/20127211