Stability and Instability of the KDV Solitary Wave Under the KP-I Flow

We consider the KP-I and gKP-I equations in . We prove that the KdV soliton with subcritical speed 0 

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Bibliographic Details
Published in:Communications in mathematical physics 2012-07, Vol.313 (1), p.155-173
Main Authors: Rousset, Frederic, Tzvetkov, Nikolay
Format: Article
Language:English
Subjects:
Analysis of PDEs
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Description
Summary:We consider the KP-I and gKP-I equations in . We prove that the KdV soliton with subcritical speed 0 
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-012-1495-y