Work

Localized Nonlinear Waves in Systems with Time- and Space-Modulated Nonlinearities

Year: 2008
Type: article
Abstract: Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schrödinger equations with potentials and nonlinearities depending both on time and on the spatial coordinates. We present the general theory and use it to calculate explicitly nontrivial solutions such as periodic (breathers), resonant, or quasiperiodically oscillating solitons. Some implications to the field of matter waves are also discussed.
Language: English
Open Access status: green
OpenAlex ID: W2067964475
FWCI: 15.6
Cites: 41
Cited by: 292
Related to: 10