A dissipative nonlinear Schrödinger model for wave propagation in the marginal ice zone

Sea ice attenuates waves propagating from the open ocean. Here, we model evolution of energetic unidirectional random in marginal zone with a nonlinear Schrödinger equation, frequency dependent dissipative term consistent current paradigms and recent field observations. The preferential dissipation high components results concurrent downshift spectral peak that leads to less than exponential energy decay, but at lower rate compared corresponding linear model. Attenuation contrast nonlinearity wave statistics edge tend Gaussianity farther into zone.