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On the dressing method for the generalised Zakharov–Shabat system

✍ Scribed by Rossen Ivanov


Book ID
116795758
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
276 KB
Volume
694
Category
Article
ISSN
0550-3213

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On the Cauchy Problem for the Zakharov S
✍ J. Ginibre; Y. Tsutsumi; G. Velo 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 672 KB

We study the local Cauchy problem in time for the Zakharov system, (1.1) and (1.2), governing Langmuir turbulence, with initial data (u(0), n(0), t n(0)) # H k Ä H l ÄH l&1 , in arbitrary space dimension &. We define a natural notion of criticality according to which the critical values of (k, l) ar