The integrable KP-I equation admits a nontrivial wave kinetic equation that thermalizes to generalized Rayleigh-Jeans equilibria via nonlocal spectral transfers, despite integrability.
The fermi–pasta–ulam problem: fifty years of progress.Chaos: An Interdisciplinary Journal of Nonlinear Science, 15(1), 2005
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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.