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Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves

✍ Scribed by de Bouard, Anne; Saut, Jean-Claude


Book ID
118200165
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
420 KB
Volume
28
Category
Article
ISSN
0036-1410

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Periodic and solitary traveling wave sol
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This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove