Self-similar solutions to super-critical gKdV
classification
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keywords
solutionsexponentselfsimilarsuper-criticalbifurcateconstructcritical
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We construct self similar finite energy solutions to the slightly super-critical generalized KdV equation. These self similar solutions bifurcate as a function of the exponent $p$ from the soliton at the $L^2$ critical exponent.
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