Analytic study on interactions between periodic solitons with controllable parameters

X Liu, H Triki, Q Zhou, W Liu, A Biswas - Nonlinear Dynamics, 2018 - Springer
Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …

Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation

X Liu, W Liu, H Triki, Q Zhou, A Biswas - Nonlinear Dynamics, 2019 - Springer
According to the change in the amplitude of the oscillation, it can be divided into equal-
amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude …

Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons

VN Serkin, A Hasegawa, TL Belyaeva - Journal of Modern Optics, 2010 - Taylor & Francis
The fundamental concept of colored nonautonomous solitons in nonlinear and dispersive
nonautonomous physical systems is introduced. Novel soliton solutions for the …

Nonautonomous matter-wave solitons near the Feshbach resonance

VN Serkin, A Hasegawa, TL Belyaeva - Physical Review A—Atomic, Molecular …, 2010 - APS
By means of analytical and numerical methods, we reveal the main features of
nonautonomous matter-wave solitons near the Feshbach resonance in a one-dimensional …

Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions

A Chowdury, DJ Kedziora, A Ankiewicz, N Akhmediev - Physical Review E, 2015 - APS
We present breather solutions of the quintic integrable equation of the Schrödinger
hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear …

Soliton management for a variable-coefficient modified Korteweg–de Vries equation

ZY Sun, YT Gao, Y Liu, X Yu - Physical Review E—Statistical, Nonlinear, and …, 2011 - APS
The concept of soliton management has been explored in the Bose-Einstein condensate
and optical fibers. In this paper, our purpose is to investigate whether a similar concept …

Amplification of nonautonomous solitons in the Bose-Einstein condensates and nonlinear optics

ZY Sun, YT Gao, X Yu, Y Liu - Europhysics Letters, 2011 - iopscience.iop.org
Two types of amplification of solitons during the interactions for a nonautonomous nonlinear
Schrödinger model with the time-and space-dependent dispersion, nonlinearity, and …

Enhancement of FSR and finesse using add/drop filter and PANDA ring resonator systems

IS Amiri, J Ali, PP Yupapin - International Journal of Modern Physics …, 2012 - World Scientific
We present effect of the input central wavelength on microring resonator (MRR) performance
using proposed systems. The first proposed system consists of series of microring resonator …

Optimal control for soliton breathers of the Lakshmanan–Porsezian–Daniel, Hirota, and cmKdV models

VN Serkin, TL Belyaeva - Optik, 2018 - Elsevier
We apply the method for systematic construction of the two-soliton (and in principal, N-
soliton) breather solutions on the zero background to the Lakshmanan–Porsezian–Daniel …

Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation

MSM Rajan, A Mahalingam, A Uthayakumar… - … in Nonlinear Science …, 2013 - Elsevier
We consider optical pulse propagation in an Erbium doped inhomogeneous lossy optical
fiber with time dependent phase modulation, which is governed by a system of Generalized …