The integrable KP-I equation admits a nontrivial wave kinetic equation that thermalizes to generalized Rayleigh-Jeans equilibria via nonlocal spectral transfers, despite integrability.
Optical wave turbulence and the condensation of light.Journal of the Optical Society of America B, 26(12):2280–2284, 2009
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Wave Kinetics and Thermalization in Kadomtsev-Petviashvili-I System
The integrable KP-I equation admits a nontrivial wave kinetic equation that thermalizes to generalized Rayleigh-Jeans equilibria via nonlocal spectral transfers, despite integrability.