Solitons in nonlinear lattices

YV Kartashov, BA Malomed, L Torner - Reviews of Modern Physics, 2011‏ - APS
This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

TA Sulaiman, A Yusuf, M Alquran - Nonlinear Dynamics, 2021‏ - Springer
Variable coefficients nonlinear evolution equations offer us with more real aspects in the
inhomogeneities of media and nonuniformities of boundaries than their counter constant …

Vector spatiotemporal solitons and their memory features in cold Rydberg gases

Y Zhao, YB Lei, YX Xu, SL Xu, H Triki… - Chinese Physics …, 2022‏ - iopscience.iop.org
We propose a scheme to generate stable vector spatiotemporal solitons through a Rydberg
electromagnetically induced transparency (Rydberg-EIT) system. Three-dimensional vector …

Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equations

V Skarka, NB Aleksić - Physical review letters, 2006‏ - APS
The generation and nonlinear dynamics of multidimensional optical dissipative solitonic
pulses are examined. The variational method is extended to complex dissipative systems, in …

Femtosecond pulse propagation in air: variational analysis

N Aközbek, CM Bowden, A Talebpour, SL Chin - Physical Review E, 2000‏ - APS
We use a variational method to study the phenomenon of intense femtosecond pulse
propagation in air. This method allows us to obtain a semianalytical solution to the problem …

Nonlocal gap solitons in -symmetric periodic potentials with defocusing nonlinearity

CP Jisha, A Alberucci, VA Brazhnyi, G Assanto - Physical Review A, 2014‏ - APS
Existence and stability of PT-symmetric gap solitons in a periodic structure with defocusing
nonlocal nonlinearity are studied both theoretically and numerically. We find that, for any …

Dissipative solitons with a Lagrangian approach

A Ankiewicz, N Akhmediev, N Devine - Optical fiber technology, 2007‏ - Elsevier
We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg–
Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and …

Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers

VL Kalashnikov, S Wabnitz - Physical Review A, 2020‏ - APS
We introduce a mechanism of stable spatiotemporal soliton formation in a multimode fiber
laser. This is based on spatially graded dissipation, leading to distributed Kerr-lens mode …

Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides

P Parra-Rivas, Y Sun, S Wabnitz - Optics Communications, 2023‏ - Elsevier
In this work, we present a detailed study of the dynamics and stability of fundamental
spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse …

Demonstration of high-stable self-mode-locking pulses based on self-focusing in fiber lasers

S Sun, X Shang, F Yang, Z Sui, Z Hong, S Chen… - Infrared Physics & …, 2022‏ - Elsevier
Passive ultrafast photoelectric devices based on the self-focusing effect have been deeply
studied in ultrashort pulse formation, and great progress has been made in solid-state …