Interactions of vector solitons

J Yang - Physical Review E, 2001 - APS
In this paper, we study the interaction of two widely separated vector solitons in the
nonintegrable coupled nonlinear Schrödinger (NLS) equations. Using a modification of …

Supersolitons: solitonic excitations in atomic soliton chains

D Novoa, BA Malomed, H Michinel, VM Perez-Garcia - Physical review letters, 2008 - APS
We show that, by tuning interactions in nonintegrable vector nonlinear Schrödinger
equations modeling Bose-Einstein condensates and other relevant physical systems, it is …

Soliton complexity in the damped-driven nonlinear Schrödinger equation: Stationary to periodic to quasiperiodic complexes

IV Barashenkov, EV Zemlyanaya - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
Soliton complexity in the damped-driven nonlinear Schrödinger equation: Stationary to periodic
to quasiperiodic complexes Page 1 PHYSICAL REVIEW E 83, 056610 (2011) Soliton …

Adiabatic interaction of ultrashort solitons: Universality of the complex Toda chain model

VS Gerdjikov, EV Doktorov, J Yang - Physical Review E, 2001 - APS
Abstract Using the Karpman-Solov'ev method we derive the equations for the two-soliton
adiabatic interaction for solitons of the modified nonlinear Schrödinger equation (MNSE) …

Adiabatic -soliton interactions of Bose-Einstein condensates in external potentials

VS Gerdjikov, BB Baizakov, M Salerno… - Physical Review E …, 2006 - APS
A perturbed version of the complex Toda chain (CTC) has been employed to describe
adiabatic interactions within an N-soliton train of the nonlinear Schrödinger equation …

Suppression of Manakov soliton interference in optical fibers

J Yang - Physical Review E, 2002 - APS
In this paper, we study the interaction of two vector solitons in the Manakov equations that
govern pulse transmission in randomly birefringent fibers. Under the assumptions that these …

Adiabatic and non-adiabatic soliton interactions in nonlinear optics

VS Gerdjikov, IM Uzunov - Physica D: Nonlinear Phenomena, 2001 - Elsevier
Our previous results on the N-soliton interaction in the adiabatic approximation have been
extended. It is shown that the complex Toda chain (CTC) model is a universal one in the …

Temporal solitonic crystals and non-Hermitian informational lattices

JE Prilepsky, SA Derevyanko, SK Turitsyn - Physical review letters, 2012 - APS
Clusters of temporal optical solitons—stable self-localized light pulses preserving their form
during propagation—exhibit properties characteristic of that encountered in crystals. Here …

Nonlinear waves in optical waveguides and soliton theory applications

SB Leble - Optical Solitons: Theoretical and Experimental …, 2002 - Springer
Starting with dielectric slab as a waveguide, we discuss the formal aspects of a derivation of
model (soliton equations) reducing the description of the threedimensional electromagnetic …

N-Soliton Interactions for the Manakov System: Effects of External Potentials

VS Gerdjikov, MD Todorov - … in Nonlinear Complex Systems: Current State …, 2013 - Springer
We analyze the dynamical behavior of the N-soliton train in adiabatic approximation of the
Manakov system (MS) perturbed by three types of external potentials: periodic, quadratic …