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On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation

✍ Scribed by J.C. Alexander; R.L. Pego; R.L. Sachs


Book ID
108444726
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
605 KB
Volume
226
Category
Article
ISSN
0375-9601

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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