Equations of long waves with a free surface. II. Hamiltonian structure and higher equations
β Scribed by B. A. Kupershmidt; Yu. I. Manin
- Publisher
- Springer US
- Year
- 1978
- Tongue
- English
- Weight
- 638 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
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## Abstract We consider the equation (β1)^__m__^β^__m__^ (__p__β^__m__^__u__) + β__u__ = Ζ in β^__n__^ Γ [0, β] for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ β1, Ζ Ο΅ __C__ and __p__ > 0. Under the additional assumption that the differential operator (β1)^__m__^β^__
## Abstract We consider the equation (β1)^__m__^β^__m__^ (__p__β^__m__^__u__) + β__u__ = Ζ in β^__n__^ Γ (0, β) for arbitrary positive integers __m__ and __n__ and under the assumptions __p__ β 1, Ζ Ο΅ __C__(β^__n__^) and __p__ > 0. Even if the differential operator (β1)^__m__^β^__m__^ (__p__β^__m__