Dissipative solitons
HG Purwins, HU Bödeker, S Amiranashvili - Advances in Physics, 2010 - Taylor & Francis
The present review summarizes experimental and theoretical work dealing with self-
organized solitary localized structures (LSs) that are observed in spatially extended …
organized solitary localized structures (LSs) that are observed in spatially extended …
Bright matter-wave soliton collisions in a harmonic trap: Regular and chaotic dynamics
AD Martin, CS Adams, SA Gardiner - Physical review letters, 2007 - APS
Collisions between bright solitary waves in the 1D Gross-Pitaevskii equation with a
harmonic potential, which models a trapped atomic Bose-Einstein condensate, are …
harmonic potential, which models a trapped atomic Bose-Einstein condensate, are …
Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?
Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been
reported in many different branches of physics. Their physical interpretation is however still …
reported in many different branches of physics. Their physical interpretation is however still …
Formation of matter-wave soliton molecules
U Al Khawaja, HTC Stoof - New Journal of Physics, 2011 - iopscience.iop.org
We propose an experiment for forming matter-wave soliton molecules. In the proposed
setup, we show that if two solitons are initially prepared in phase and with a sufficiently small …
setup, we show that if two solitons are initially prepared in phase and with a sufficiently small …
Similariton interactions in nonlinear graded-index waveguide amplifiers
Self-similar propagation of optical beams inside a one-dimensional nonlinear graded-index
waveguide amplifier is studied. By employing the lens-type and Husimi transformations …
waveguide amplifier is studied. By employing the lens-type and Husimi transformations …
Bright solitary-matter-wave collisions in a harmonic trap: Regimes of solitonlike behavior
AD Martin, CS Adams, SA Gardiner - … Review A—Atomic, Molecular, and Optical …, 2008 - APS
Systems of solitary waves in the one-dimensional Gross-Pitaevskii equation, which models a
trapped atomic Bose-Einstein condensate, are investigated theoretically. To analyze the …
trapped atomic Bose-Einstein condensate, are investigated theoretically. To analyze the …
Coherent atomic soliton molecules for matter-wave switching
We discuss the dynamics of interacting dark-bright two-dimensional vector solitons in
multicomponent immiscible bulk Bose-Einstein condensates. We describe matter-wave …
multicomponent immiscible bulk Bose-Einstein condensates. We describe matter-wave …
[HTML][HTML] Soliton dynamics of a discrete integrable Ablowitz–Ladik equation for some electrical and optical systems
YF Wang, B Tian, M Li, P Wang, Y Jiang - Applied Mathematics Letters, 2014 - Elsevier
Under investigation in this paper is a discrete integrable Ablowitz–Ladik equation, which has
certain applications in the electrical and optical systems. Via the Hirota method and symbolic …
certain applications in the electrical and optical systems. Via the Hirota method and symbolic …
Perturbation theory for bright spinor Bose-Einstein condensate solitons
EV Doktorov, J Wang, J Yang - Physical Review A—Atomic, Molecular, and …, 2008 - APS
We develop a perturbation theory for bright solitons of the F= 1 integrable spinor Bose-
Einstein condensates (BEC) model. The formalism is based on using the Riemann-Hilbert …
Einstein condensates (BEC) model. The formalism is based on using the Riemann-Hilbert …
Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential
SM Al-Marzoug, SM Al-Amoudi, U Al Khawaja… - Physical Review E …, 2011 - APS
Scattering of a matter-wave single soliton and two-soliton molecule incident on the modified
Pöschl-Teller potential well has been studied by means of a collective coordinate approach …
Pöschl-Teller potential well has been studied by means of a collective coordinate approach …