The collapse of self-focusing waves described by the nonlinear Schrödinger (NLS) equation
and the Zakharov equations in nonlinear optics and plasma turbulence is reviewed. Special …

We give an overview of the basic physical concepts and analytical methods for investigating
the symmetry-breaking instabilities of solitary waves. We discuss self-focusing of spatial …

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

Modern laser sources nowadays deliver ultrashort light pulses reaching few cycles in
duration and peak powers exceeding several terawatt (TW). When such pulses propagate …

An overview is given of the physics issues relevant to the plasma wakefield accelerator, the
plasma beat-wave accelerator, the laser wakefield accelerator, including the self-modulated …

A nonlinear theory of intense laser-plasma interactions is developed and used to describe
relativistic optical guiding, coherent harmonic radiation production, and nonlinear plasma …

Several features of intense, short-pulse (/spl lsim/1 ps) laser propagation in gases
undergoing ionization and in plasmas are reviewed, discussed, and analyzed. The wave …

A nonlinear one-dimensional theory is developed that describes some important aspects of
intense laser-plasma interactions. The self-consistent laser-plasma analysis includes …

A simple derivation in the Coulomb gauge of the nonlinear Schrödinger equation describing
propagation of powerful ultrashort circularly polarized laser pulses in underdense cold …

Abstract An initially short (< 1/ω p) laser pulse can be superradiantly amplified by a
counterpropagating long low-intensity pump while remaining ultrashort. This superradiant …