The derivation of the equation is also revisited to get an idea of whether or not these oscillatory waves might actually occur in a natural setting. SIAM Journal on Applied Mathematics contains ...

Next we derive the wave kinetic equation on correlation function Fω using the deviation of equation (1) from the integrable NLSE. We use a standard assumption that the field ψ consists of ...

Alexander D. Kolesnik, Enzo Orsingher, A Planar Random Motion with an Infinite Number of Directions Controlled by the Damped Wave Equation, Journal of Applied Probability, Vol. 42, No. 4 (Dec., 2005), ...