Unusual stability of a one-parameter family of dissipative solitons due to spectral filtering and nonlinearity saturation

This assumption is correct if the changes in the gain are small or if some additional spectral selector (which is not related to the narrow band selection used for the

␤ ⬎ 0 共nonzero diffusivity in the transverse plane兲 is indeed necessary for the stability of all vortical DSs, the presence of spectral filtering is not a necessary

We prove that solitons (or solitary waves) of the Zakharov-Kuz- netsov (ZK) equation, a physically relevant high dimensional generalization of the Korteweg-de Vries (KdV)

In this communication, we use the semi-imphcit finite difference operator splitting Pade method to solve the higher-order nonlinear Schrodinger equation with higher order hnear

Concerning the Cauchy problem for the hydrodynamical Landau-Lifshitz equation, the main difficulty is to establish the continuity with respect to the initial datum in the energy space

More precisely, gen- eralized sector conditions using properties of the saturation and backlash operators, associated to Lyapunov arguments allow us to analyze the stability in

The complex Swift-Hohenberg equation is useful to describe soliton propagation in optical systems with linear and nonlinear gain and spectral filtering such as communication

Picozzi, “Tempo- ral dynamics of incoherent waves in noninstantaneous response nonlinear Kerr media,”