Dynamics of Solitons in Nearly Integrable Systems
- Y. Kivshar, B. Malomed
- Physics, Mathematics
- 1 October 1989
A detailed survey of the technique of perturbation theory for nearly integrable systems, based upon the inverse scattering transform, and a minute account of results obtained by means of that…
Solitons in nonlinear lattices
- Y. Kartashov, B. Malomed, L. Torner
- Physics
- 11 October 2010
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic…
Solitary waves with damped oscillatory tails: an analysis of the fifth-order Korteweg-de Vries equation
- R. Grimshaw, B. Malomed, E. Benilov
- Physics, Mathematics
- 15 October 1994
Spatiotemporal optical solitons
- B. Malomed, D. Mihalache, F. Wise, L. Torner
- Physics
- 15 April 2005
In the course of the past several years, a new level of understanding has been achieved about conditions for the existence, stability, and generation of spatiotemporal optical solitons, which are…
Soliton Management in Periodic Systems
- B. Malomed
- Physics
- 6 July 2006
Periodically modulated dispersion, and dispersion management: basic results for solitons.- The split-step model.- Nonlinearity management for quadratic, cubic, and Bragg-grating solitons.- Resonant…
Soliton-defect collisions in the nonlinear Schrödinger equation
- Xiang D. Cao, B. Malomed
- Physics
- 9 October 1995
Stability of solitons in parity-time-symmetric couplers.
- R. Driben, B. Malomed
- PhysicsOptics Letters
- 27 September 2011
Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss and a stability region is obtained in an analytical form and verified by simulations.
Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates
- Lu Li, Zai-Dong Li, B. Malomed, D. Mihalache, Wu-Ming Liu
- Physics
- 15 September 2005
We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types in the general (nonintegrable) model of a spinor (three-component) model of the Bose-Einstein condensate,…
Self-steepening of ultrashort optical pulses without self-phase-modulation
- J. Moses, B. Malomed, F. Wise
- Physics
- 30 July 2007
We report the experimental manifestation in optical physics of wave propagation involving self-steepening without concomitant self-phase-modulation. The conditions are realized through the interplay…
...
...