Integrable Nonlinear Evolution Equations on a Finite Interval
β Scribed by Anne Boutet de Monvel; Athanassis S. Fokas; Dmitry Shepelsky
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 372 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
## Abstract A class of nonlinear singular integral equations of Cauchy type on a finite interval is transformed to an equivalent class of (discontinuous) boundary value problems for holomorphic functions in the complex unit disk. Using recent results on the solvability of explicit RiemannβHilbert p
A new property involving the recursion operator L and the Hamiltonian operator d of the nonlinear evolution equations integrable by the inverse scattering transform method is derived. It follows that these equations are completely determined in terms of the L and J operators.