A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line
Accepted version
Peer-reviewed
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Repository DOI
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Authors
Gérard, Patrick
Lenzmann, Enno
Pocovnicu, Oana
Raphaël, Pierre
Abstract
We consider the focusing cubic half-wave equation on the real line $$ i \partial_t u + |D| u = |u|^2 u, \ \ \widehat{|D|u}(\xi)=|\xi|\hat{u}(\xi), \ \ (t,x)\in \Bbb R_+\times \Bbb R. $$ We construct an asymptotic global-in-time compact two-soliton solution with arbitrarily small
Description
Keywords
4901 Applied Mathematics, 49 Mathematical Sciences
Journal Title
Annals of PDE
Conference Name
Journal ISSN
2524-5317
2199-2576
2199-2576
Volume Title
4
Publisher
Springer
Publisher DOI
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All rights reserved
Sponsorship
European Commission Horizon 2020 (H2020) ERC (SINGWAVES 646650)
ERC consolidator grant