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

open access: yesResults 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   +7 more
doaj   +4 more sources

N-soliton, breather, M-lump and interaction dynamics for a (2 + 1)-dimensional KdV equation with variable coefficients

open access: yesResults in Physics, 2023
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
doaj   +1 more source

Chains of Interacting Solitons [PDF]

open access: yesSymmetry, 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

Resonant line wave soliton solutions and interaction solutions for (2+1)-dimensional nonlinear wave equation

open access: yesResults in Physics, 2021
Based on the N-soliton solutions, the resonant line wave soliton and interaction solutions are derived through some constraints in the (2+1)-dimensional nonlinear wave equation. General resonant line wave soliton solutions are firstly presented and their
Qingqing Chen   +3 more
doaj   +1 more source

Soliton refraction by an optical soliton gas

open access: yesPhysical Review Research, 2023
We report an optical fiber experiment in which we investigate the interaction between an individual soliton and a dense soliton gas. We evidence a refraction phenomenon where the tracer soliton experiences an effective velocity change due to its ...
Pierre Suret   +5 more
doaj   +1 more source

Exploring the dynamics of nonlocal nonlinear waves: Analytical insights into the extended Kadomtsev–Petviashvili model

open access: yesFrontiers in Physics, 2023
The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev–Petviashvili (enKP) model through a systematic analysis of explicit solutions ...
Karuppaiya Sakkaravarthi   +2 more
doaj   +1 more source

Abundant lump-type solutions for the extended (3+1)-dimensional Jimbo–Miwa equation

open access: yesResults in Physics, 2021
In this work, we research the mixed lump–kink solutions and their dynamic properties of the extended (3+1)-dimensional Jimbo–Miwa equation. Mixed lump–kink solutions are triggered by the interaction between lump soliton and exponential function, the ...
Mei Yang, M.S. Osman, Jian-Guo Liu
doaj   +1 more source

Lump Interactions with Plane Solitons

open access: yesRadiophysics 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.   +2 more
openaire   +3 more sources

Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

open access: yesResults in Physics, 2020
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi   +5 more
doaj   +1 more source

Exact analysis and elastic interaction of multi-soliton for a two-dimensional Gross-Pitaevskii equation in the Bose-Einstein condensation

open access: yesJournal of Advanced Research, 2022
Introduction: The Gross-Pitaevskii equation is a class of the nonlinear Schrödinger equation, whose exact solution, especially soliton solution, is proposed for understanding and studying Bose-Einstein condensate and some nonlinear phenomena occurring in
Haotian Wang, Qin Zhou, Wenjun Liu
doaj   +1 more source

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