Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures
β Scribed by R.Z. Zhdanov; I.V. Revenko; W.I. Fushchych
- Book ID
- 108445075
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 319 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces H (R) defined by the norm Local well-posedness for the th equation is shown in the parameter range 2 β₯ > 1, β₯ 2 -1 2 . The proof uses an appropriate variant of the Fourier restriction nor
We construct a new family of quasigraded Lie algebras that admit the Kostant-Adler scheme. They coincide with special quasigraded deformations of twisted subalgebras of the loop algebras. Using them we obtain new hierarchies of integrable equations in partial derivatives. They coincide with the defo