- 96-21 Renger W.
- A new class of soliton solutions for the (modified)
Kadomtsev-Petviashvili equation
(38K, AMS-LATEX)
Jan 25, 96
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Abstract. 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 examination of the limits of $N$-soliton
solutions as $\limN$. We give sufficient conditions to
ensure that these limits exist and satisfy the (modified)
Kadomtsev-Petviashvili equation.
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96-21.tex