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Rational solutions of the Kadomtsev — Petviashvili equation and integrable systems of N particles on a line

✍ Scribed by I. M. Krichever


Publisher
Springer US
Year
1978
Tongue
English
Weight
191 KB
Volume
12
Category
Article
ISSN
0016-2663

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A New Class of Soliton Solutions for the
✍ Walter Renger 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 675 KB

We construct solutions of the Kadomtsev-Petviashvili equation and its counterpart, the modified Kadomtsev-Petviashvili equation, with an infinite number of solitons by a careful armination of the limits of N -soliton solutions as N --t OQ. We give sufficient conditions to ensure that these limits ex