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Related papers: Nonreciprocity-Enabled Chiral Stability of Nonline…

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We study the nonlinear wave dynamics of one-dimensional chains of polycatenated rings. These interlocked structures support amplitude-dependent nonlinear wave propagation driven by tensile activation and internal structural flexibility,…

Soft Condensed Matter · Physics 2026-05-25 Xiaoxiao Xiong , Reo Yanagi , Tingtao Zhou , Chiara Daraio

Reciprocity is a fundamental principle governing various physical systems, which ensures that the transfer function between any two points in space is identical, regardless of geometrical or material asymmetries. Breaking this transmission…

Classical Physics · Physics 2017-04-12 Corentin Coulais , Dimitrios Sounas , Andrea Alù

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schroedinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and…

Pattern Formation and Solitons · Physics 2009-11-11 I. Kourakis , P. K. Shukla

Light-matter interactions in conventional nanophotonic structures typically lack directionality. Furthermore, surface waves supported by conventional material substrates do not usually have a preferential direction of propagation, and their…

Reciprocity, the principle that a system response is identical in the forward path compared to the backward path, is a fundamental concept across physics, from electrical circuits and optics to acoustics and heat conduction. Nonreciprocity…

Materials Science · Physics 2025-08-01 Thomas J. Ugras , Daniel J. Gracias , Oriol Arteaga , Richard D. Robinson

The thermomagnetic instability of the critical state in superconductors is analysed with account of the dissipation and dispersion. The possibility is demonstrated of the existance of a nonlinear shok wave describing the final stage of the…

Superconductivity · Physics 2009-11-07 N. A. Taylanov

An outstanding challenge in the field of topological insulators is the realization of nonlinear systems that support coherent traveling waves. Highly nonlinear lattices can suffer from significant radiation losses due to Peierls-Nabarro…

Pattern Formation and Solitons · Physics 2026-04-22 Troy I. Johnson , Justin T. Cole

Nonreciprocal spin-wave propagation in bilayer ferromagnetic systems has attracted significant attention due to its potential to precisely quantify material parameters as well as for applications in magnonic logic and information…

Mesoscale and Nanoscale Physics · Physics 2025-05-07 C. Heins , V. Iurchuk , O. Gladii , L. Körber , A. Kákay , J. Fassbender , K. Schultheiss , H. Schultheiss

This work presents a mechanism by which non-reciprocal wave transmission is achieved in a class of gyric metamaterial lattices with embedded rotating elements. A modulation of the device's angular momentum is obtained via prescribed…

Applied Physics · Physics 2020-08-12 M. A. Attarzadeh , S. Maleki , J. L. Crassidis , M. Nouh

We study the effect on the chiral edge states by including a nonlinearity to a Chern insulator which has two chiral edge states with opposite chiralities. We explore a quench dynamics by giving a pulse to one site on an edge and analyzing…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Motohiko Ezawa

We review the modulation stability of parallel propagating/field aligned Whistler Mode Chorus waves propagating in a warm plasma from a formal perspective with a focus on wave-particle interactions. The modulation instability criteria is…

Plasma Physics · Physics 2023-05-26 Daniel Ratliff , Oliver Allanson

This paper is a detailed and self-contained study of the stability properties of periodic traveling wave solutions of the nonlinear Klein-Gordon equation $u_{tt}-u_{xx}+V'(u)=0$, where $u$ is a scalar-valued function of $x$ and $t$, and the…

Analysis of PDEs · Mathematics 2017-06-02 Christopher K. R. T. Jones , Robert Marangell , Peter D. Miller , Ramon G. Plaza

We determine the modulational stability of standing waves with small group velocity in quasi-onedimensional systems slightly above the threshold of a supercritical Hopf bifurcation. The stability limits are given by two different…

patt-sol · Physics 2009-09-25 Hermann Riecke , Lorenz Kramer

The dynamics of two pairs of counter-propagating waves in two-component media is considered within the framework of two generally nonintegrable coupled Sine-Gordon equations. We consider the dynamics of weakly nonlinear wave packets, and…

Pattern Formation and Solitons · Physics 2009-11-11 S. D. Griffiths , R. H. J. Grimshaw , K. R. Khusnutdinova

We obtain the most general matrix criterion for stability and instability of multi-component solitary waves considering a system of $N$ incoherently coupled nonlinear Schrodinger equations. Soliton stability is studied as a constrained…

Pattern Formation and Solitons · Physics 2009-10-31 Dmitry E. Pelinovsky , Yuri S. Kivshar

We propose a spinning nonlinear resonator as an experimentally accessible platform to achieve nonreciprocal control of optical solitons. Nonreciprocity here results from the relativistic Sagnac-Fizeau optical drag effect, which is different…

Optics · Physics 2021-06-02 Baijun Li , Şahin. K. Özdemir , Xun-Wei Xu , Lin Zhang , Le-Man Kuang , Hui Jing

By a refinement of the technique used by Johnson and Zumbrun to show stability under localized perturbations, we show that spectral stability implies nonlinear modulational stability of periodic traveling-wave solutions of reaction…

Analysis of PDEs · Mathematics 2015-05-28 Mathew Johnson , Pascal Noble , L. Miguel Rodrigues , Kevin Zumbrun

We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equation, the one with the speed at the border between the stability and instability regions. The instability mechanism involved is ``purely…

Analysis of PDEs · Mathematics 2007-05-23 Andrew Comech , Scipio Cuccagna , Dmitry Pelinovsky

We investigate the transfer and control of nonreciprocity through magnons themselves in permalloy thin films deposited on surface oxide silicon substrate. Evidences of nonreciprocal emergence of hybridized dipole exchange magnons (spin…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Wenjie Song , Xiansi Wang , Chenglong Jia , Xiangrong Wang , Changjun Jiang , Desheng Xue , Guozhi Chai

We study stability and dynamics of the single cylindrically symmetric solitary structures and dipolar solitonic molecules in spatially nonlocal media. The main properties of the solitons, vortex solitons, and dipolar solitons are…

Pattern Formation and Solitons · Physics 2016-09-08 A. I. Yakimenko , V. M. Lashkin , O. O. Prikhodko