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We consider the resonant system of amplitude equations for the conformally invariant cubic wave equation on the three-sphere.
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P. Bizoń, B. Craps, O. Evnin, D. Hunik, V. Luyten, and M. Maliborski, Conformal flow on 𝕊 3 \mathbb{S}^{3} and weak field integrability in A d S 4 AdS_{4} , Commun. Math. Phys. 353
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A. Biasi, P. Bizoń, and O. Evnin, Solvable cubic resonant systems,
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P. Bizoń, D. Hunik–Kostyra, and D. Pelinovsky, Ground state of the conformal flow on 𝕊 3 \mathbb{S}^{3} , Commun. Pure Appl. Math. (2018), accepted
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