The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

The stability of solitons is reviewed for nonlinear conservative media. The main attention is
paid to the description of the methods: perturbation theory, inverse scattering transform …

Page 1 The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Catherine
Sulem Pierre-Louis Sulem Springer Page 2 Applied Mathematical Sciences Volume 139 Editors …

Since the human organism is itself an open system, we are naturally curious about the
behavior of other open systems with fluxes of matter, energy or information. Of the possible …

The nonlinear Schrödinger (NLS) equation iΨ t+∇ 2 Ψ+ α⋎ Ψ⋎ s Ψ= 0 is a canonical and
universal equation which is of major importance in continuum mechanics, plasma physics …

The theory and applications of wave self-focusing, collapse, and strongly nonlinear wave
turbulence are reviewed. In the last decade, the theory of these phenomena and …

The Hamiltonian description of hydrodynamic type systems in application to plasmas,
hydrodynamics, and magnetohydrodynamics is reviewed with emphasis on the problem of …

We study, analytically and with lattice simulations, the decay of coherent field oscillations
and the subsequent thermalization of the resulting stochastic classical wave field. The …

We study, both numerically and analytically, the development of equilibrium after preheating.
We show that the process is characterized by the appearance of Kolmogorov spectra and …

The review is devoted to the elucidation of the basic problems arising in the theoretical
investigation of systems with Bose-Einstein condensate. Understanding these challenging …