Results 1 to 10 of about 1,756 (188)

Soliton–soliton interaction and its influence on soliton amplitude and period

Results in Physics, 2021
The study of soliton interactions in birefringent fibers has important applications in optical communications. In this paper, the coupled nonlinear Schrödinger equations, which can be used to model the soliton propagation in birefringent fibers, are ...
Jing Yang, Zhenghua Huang, Yu Zhu, Qin Zhou, Jitao Li, Yunzhou Sun, Hashim M. Alshehri, Anjan Biswas   +7 more
doaj   +2 more sources

Interacting dust-acoustic multi-soliton and periodic waves in strongly coupled dusty plasma with ion-drag force [PDF]

Scientific Reports
This study investigates head-on collisions of nonlinear dust acoustic waves (DAWs) in an unmagnetized, strongly coupled dusty plasma with ion-drag force.
Shahrina Akter, Tokey Sifullah Tanjil, Md. Golam Hafez   +2 more
doaj   +2 more sources

Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach [PDF]

Scientific Reports
This study analyzes the $$(2+1)$$ -dimensional Boussinesq equation, a fundamental model in coastal and ocean engineering for describing the propagation of long waves in shallow water.
Syeda Sarwat Kazmi, Muhammad Bilal Riaz
doaj   +2 more sources

Bifurcation analysis and phase portraits for chiral solitons with bohm potential in quantum hall effect [PDF]

MethodsX
This paper presents a comprehensive bifurcation analysis and phase portrait investigation of chiral solitons governed by the chiral nonlinear Schrödinger equation with Bohm potential in the Quantum Hall Effect framework.
Lu Tang, Yakup Yildirim, Ahmed H. Arnous, Ahmed Shaker Mahmood, Ibrahim Zeghaiton Chaloob, Anjan Biswas   +5 more
doaj   +2 more sources

Real-Time Access to Collisions between a Two-Soliton Molecule and a Soliton Singlet in an Ultrafast Fiber Laser

Photonics, 2022
Optical solitons in ultrafast fiber lasers, as a result of dual balances between dispersion and nonlinearity as well as gain and loss, enable various soliton interactions.
Junwen Li, Heping Li, Zhuang Wang, Zhiyao Zhang, Shangjian Zhang, Yong Liu   +5 more
doaj   +1 more source

Chains of Interacting Solitons [PDF]

Symmetry, 2021
We present an overview of multisoliton chains arising in various non-integrable field theories and discuss different mechanisms which may lead to the occurrence of such axially-symmetric classical solutions. We explain the pattern of interactions between different solitons, in particular Q-balls, Skyrmions, and monopoles, and show how chains of ...
openaire   +3 more sources

Binary Darboux transformation and interactions of solitons for a higher-order matrix nonlinear Schrödinger equation

Results in Physics, 2023
In this paper, we present two- and three-soliton solutions for a higher-order matrix nonlinear Schrödinger equation based on the binary Darboux transform constructed, and analyze various types of interaction properties of solitons.
Mengyao Guo, Xiyang Xie
doaj   +1 more source

Bipolar Solitary Wave Interactions within the Schamel Equation

Mathematics, 2023
Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or rogue ...
Ekaterina Didenkulova, Efim Pelinovsky, Marcelo V. Flamarion   +2 more
doaj   +1 more source

Propagation and interaction between special fractional soliton and soliton molecules in the inhomogeneous fiber

Journal of Advanced Research, 2022
Introduction: Fractional nonlinear models have been widely used in the research of nonlinear science. A fractional nonlinear Schrödinger equation with distributed coefficients is considered to describe the propagation of pi-second pulses in inhomogeneous
Gang-Zhou Wu, Chao-Qing Dai, Yue-Yue Wang, Yi-Xiang Chen   +3 more
doaj   +1 more source

Lump Interactions with Plane Solitons

Radiophysics and Quantum Electronics, 2021
We analyse the detail of interactions of two-dimensional solitary waves called lumps and one-dimensional line solitons within the framework of the Kadomtsev-Petviashvili equation describing wave processes in media with positive dispersion. We show that line solitons can emit or absorb lumps or periodic chains of lumps; they can interact with each other
Stepanyants, Yu. A., Zakharov, D. V., Zakharov, V. E.   +2 more
openaire   +3 more sources