Add to ORKGRecently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are integrable by the use of the Spectral Transform, admit localized (in the space) soliton solutions. This article briefly reviews some of the main results obtained in the last five years thanks to the renewed interest in soliton theory due to this discovery. The theoretical tools needed to understand the unexpected richness of behaviour of multidimensional localized solitons during their mutual scattering are furnished. Analogies and especially discrepancies with the unidimensional case are stressed
Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and diverse bran...
Explicit analytic formulae for two-dimensional solitons are given. It is proved that, unlike one-dim...
Nonlinear Schrodinger (NLS) systems are important examples of physically-significant nonlinear evolu...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
Solitons represent localized structures which exist due to the exact balance between nonlinear self...
Soliton interactions in systems modelled by coupled nonlinear Schrodinger (CNLS) equations and encou...
The data recorded in optical fiber and in hydrodynamic experiments reported the pioneering observati...
Solitons are non-dispersive “wave units” which maintain their initial profile while moving infinitely ...
Solitons are self-localized wave-packets arising from a robust balance between dispersion and nonlin...
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of l...
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wa...
The different dynamical features underlying soliton interactions in coupled nonlinear Schrodinger eq...
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of l...
We present a general review of the dynamics of topoligical solitons in 1 and 2 dimensions and then d...
We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Sc...
Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and diverse bran...
Explicit analytic formulae for two-dimensional solitons are given. It is proved that, unlike one-dim...
Nonlinear Schrodinger (NLS) systems are important examples of physically-significant nonlinear evolu...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
Solitons represent localized structures which exist due to the exact balance between nonlinear self...
Soliton interactions in systems modelled by coupled nonlinear Schrodinger (CNLS) equations and encou...
The data recorded in optical fiber and in hydrodynamic experiments reported the pioneering observati...
Solitons are non-dispersive “wave units” which maintain their initial profile while moving infinitely ...
Solitons are self-localized wave-packets arising from a robust balance between dispersion and nonlin...
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of l...
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wa...
The different dynamical features underlying soliton interactions in coupled nonlinear Schrodinger eq...
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of l...
We present a general review of the dynamics of topoligical solitons in 1 and 2 dimensions and then d...
We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Sc...
Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and diverse bran...
Explicit analytic formulae for two-dimensional solitons are given. It is proved that, unlike one-dim...
Nonlinear Schrodinger (NLS) systems are important examples of physically-significant nonlinear evolu...