This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing dynamical sea-ice model W.D. Hibler, Journal Physical Oceanography, 1979. Our choice regularization has been carefully designed, prompted physical considerations, retain original coupled hyperbolic-parabolic character Hibler’s model. Various regularized versions thi...

We prove local and global well–posedness results for the Gabitov–Turitsyn or dispersion managed nonlinear Schrödinger equation with a large class of nonlinearities arbitrary average on L2(R) H1(R) zero non–zero dispersions, respectively. Moreover, when is non–negative, we show that set ground states orbitally stable. This covers case non–saturated saturated polarizations yields, nonlinearities,...