Solitary wave interaction in a compact equation for deep-water gravity   waves
  In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakharov (2011) Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation. 
Francesco Fedele (ECE GeorgiaTech), Denys Dutykh (LAMA)
physics.class-ph nlin.SI physics.flu-dyn