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A variation principle is suggested to find self-similar solitary solutions (``solitons'') of shell model of turbulence. For the Sabra shell model the shape of the solitons is approximated by rational trial functions with relative accuracy…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov

Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective system with the self-attractive on-site…

Pattern Formation and Solitons · Physics 2015-05-28 M. Stojanovic , A. Maluckov , Lj. Hadzievski , B. A. Malomed

The concept of soliton complex in a nonlinear dispersive medium is proposed. It is shown that strongly interacting identical topological solitons in the medium can form bound soliton complexes which move without radiation. This phenomenon…

patt-sol · Physics 2007-05-23 Mikhail M. Bogdan , Arnold M. Kosevich , Gerard A. Maugin

The Yakushevich (Y) model provides a very simple pictures of DNA torsion dynamics, yet yields remarkably correct predictions on certain physical characteristics of the dynamics. In the standard Y model, the interaction between bases of a…

Biomolecules · Quantitative Biology 2015-06-26 G. Gaeta

We study a model in which a Hubbard Hamiltonian is coupled to the dispersive phonons in a classical nonlinear lattice. Our calculations are restricted to the case where we have only two quasi-particles of opposite spins, and we investigate…

Superconductivity · Physics 2007-05-23 L. Cruzeiro-Hansson , J. C. Eilbeck , J. L. Marin , F. M. Russell

We investigate stability the dynamical properties of one-dimensional interwires polar soliton molecules in a biwire setup with dipole moments aligned perpendicularly to the line of motion and in opposite directions in different wires.…

Pattern Formation and Solitons · Physics 2019-08-06 Khelifa Mohammed Elhadj , Abdelaali Boudjemaa , U. Al Khawaja

We study the 1D dynamics of dark-dark solitons in the miscible regime of two density-coupled Bose-Einstein condensates having repulsive interparticle interactions within each condensate ($g>0$). By using an adiabatic perturbation theory in…

Quantum Gases · Physics 2018-04-25 I. Morera , A. Muñoz Mateo , A. Polls , B. Juliá-Díaz

The nonlinear Schrodinger equation supports solitons -- self-interacting, localized states that behave as nearly independent objects. We exhibit solitons with self-induced nonreciprocal dynamics in a discrete nonlinear Schrodinger equation.…

Pattern Formation and Solitons · Physics 2025-09-15 Pedro Fittipaldi de Castro , Wladimir Alejandro Benalcazar

The Kelvin-Helmholtz instability is a ubiquitous physical process in ordinary fluids and plasmas, frequently observed also in space environments. In this paper, kinetic effects at proton scales in the nonlinear and turbulent stage of the…

Space Physics · Physics 2023-07-12 A. Settino , F. Malara , O. Pezzi , M. Onofri , D. Perrone , F. Valentini

Two-dimensional topological solitons, commonly called Skyrmions, are extensively studied in solid-state magnetic nanostructures and promise many spintronics applications. However, three-dimensional topological solitons dubbed hopfions have…

Materials Science · Physics 2018-11-02 Jung-Shen B. Tai , Ivan I. Smalyukh

Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala

The influence of an external oscillating in time magnetic field on the dynamics of the Davydov's soliton is investigated. It is shown that it essentially depends not only on the amplitude and frequency of the magnetic field, but also on the…

Soft Condensed Matter · Physics 2024-02-15 Larissa Brizhik

e study the solitons, stabilized by spin precession in a classical two--dimensional lattice model of Heisenberg ferromagnets with non-small easy--axis anisotropy. The properties of such solitons are treated both analytically using the…

Strongly Correlated Electrons · Physics 2009-11-11 B. A. Ivanov , A. Yu. Merkulov , V. A. Stephanovich , C. E. Zaspel

We study the non-equilibrium dynamics of solitons in model Hamiltonians for Peierls dimerized quasi-one dimensional conducting polymers and commensurate charge density wave systems. The real time equation of motion for the collective…

Condensed Matter · Physics 2009-10-30 S. M. Alamoudi , D. Boyanovsky , F. I. Takakura

Solitons - localized wave packets that travel without spreading - play a central role in understanding transport and properties of nonlinear systems, from optical fibers to fluid dynamics. In quantum many-body systems, however, such robust…

Quantum Physics · Physics 2025-07-18 Aron Kerschbaumer , Jean-Yves Desaules , Marko Ljubotina , Maksym Serbyn

We develop a theory of soliton spiraling in a bulk nonlinear medium and reveal a new physical mechanism: periodic power exchange via induced coherence, which can lead to stable spiraling and the formation of dynamical two-soliton states.…

patt-sol · Physics 2009-10-31 Alexander V. Buryak , Yuri S. Kivshar , Ming-feng Shih , Mordechai Segev

We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium…

We study large-amplitude, very oblique Alfv\'en waves at low $\beta$, with small gradient length scales, comparable to the ion inertial scale $d_i$. Such waves have large density fluctuations, and slight dispersion from finite-frequency and…

Plasma Physics · Physics 2023-11-10 Alfred Mallet

In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one components, namely interlaced solitons. These are waveforms in which in the relevant anti-continuum limit, i.e.…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , Q. E. Hoq , H. Susanto , P. G. Kevrekidis

We reveal that nonlocality can provide a simple physical mechanism for stabilization of multi-hump optical solitons, and present the first example of stable rotating dipole solitons and soliton spiraling, known to be unstable in all types…

Pattern Formation and Solitons · Physics 2013-09-06 Servando Lopez-Aguayo , Anton S. Desyatnikov , Yuri S. Kivshar , Stefan Skupin , Wieslaw Krolikowski , Ole Bang
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