Journal
NONLINEARITY
Volume 28, Issue 3, Pages 545-575Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/28/3/545
Keywords
self-similar blow-up; Korteweg-de Vries equation; dispersive waves
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Funding
- DFG [SFB 1060]
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We construct self-similar finite energy solutions to the slightly super-critical generalized Korteweg-de Vries (gKdV) equation. These self-similar solutions bifurcate as a function of p from the soliton at the L-2 critical exponent p = 4.
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