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arXiv · 1404.4591

Self-similar solutions to super-critical gKdV

Herbert Koch
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Abstract

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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Herbert Koch. 2014-04-17. Self-similar solutions to super-critical gKdV. https://doi.org/10.1088/0951-7715%2F28%2F3%2F545

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