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We investigate nonlinear magnetoelastic wave dynamics and electrically tunable soliton excitations in hexagonal multiferroic media. By varying the magnetoelastic coupling strength and using a coupled magnetoelastic-ferroelectric continuum…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Saumen Acharjee , Kallol Kavas Hazarika , Rajneesh Kakoti

We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional…

Pattern Formation and Solitons · Physics 2025-04-11 Eduard Pavlyshynets , Luca Salasnich , Boris A. Malomed , Alexander Yakimenko

Nonlinear phononics has emerged as a powerful paradigm for the nonthermal control of quantum materials by engineering a conservative potential energy landscape. Here, we show that dissipation can serve as an additional control knob for…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Brayan I. Eraso-Solarte , Yafei Ren

In this work, we investigate resonance and antiresonance behaviour in forced coupled Duffing oscillators with nonlinear damping. Further, we will analyse the parameter dependence of the frequency response and stability. In the course of all…

Chaotic Dynamics · Physics 2019-09-26 Ankan Pandey

The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are…

Pattern Formation and Solitons · Physics 2015-05-19 A. Maluckov , Lj. Hadzievski , B. A. Malomed

The generation of temporal cavity solitons in microresonators results in low-noise optical frequency combs which are critical for applications in spectroscopy, astronomy, navigation or telecommunications. Breather solitons also form an…

We derive a nonlinear equation governing dynamics of short-wavelength longitudinal waves in ultrarelativistic electron-positron-ion plasmas. In contrast to the recent work by Lashkin [Phys. Plasmas {\textbf{27}}, 102302 (2020)], where a…

Plasma Physics · Physics 2021-07-28 V. M. Lashkin

We theoretically propose a nonlinear spin-wave Doppler effect, in which the time-dependent motion of a magnetic energy boundary acts as an active frequency modulator, directly converting boundary-induced phase dynamics into instantaneous…

Applied Physics · Physics 2026-05-22 Jinchen Hou , Shaojie Hu , Long You

We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter. We show that from strictly spatial resonance, it is…

Chemical Physics · Physics 2009-11-10 S. Rudiger , D. G. Miguez , A. P. Munuzuri , F. Sagues , J. Casademunt

During the last decades active particles have attracted an incipient attention as they have been observed in a broad class of scenarios, ranging from bacterial suspension in living systems to artificial swimmers in nonequilibirum systems.…

Statistical Mechanics · Physics 2023-12-19 Antonio A. Valido , Mattia Coccolo , Miguel A. F. Sanjuán

We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov

Abstract Interaction equations governing slow time evolution of the coordinates and phases of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser are derived and analyzed.…

Optics · Physics 2022-04-27 Andrei G. Vladimirov

On the basis of the Blaizot-Iancu equations, which are a local formulation of the hard thermal loop (HTL) equations of motion for soft fluctuating quark and gluon fields and their induced sources, the coupled kinetic equations for plasminos…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yu. A. Markov , M. A. Markova

Nonlinear properties of a multi-layer stack of graphene sheets are studied. It is predicted that such a structure may support dissipative plasmon-solitons generated and supported by an external laser radiation. Novel nonlinear equations…

We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Yong Xu , Lijing Zhao

Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase-transition point are analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of novel phenomena…

Optics · Physics 2015-06-11 Sean Nixon , Yi Zhu , Jianke Yang

A theoretical and experimental investigation is presented on the intermodal coupling between the flexural vibration modes of a single clamped-clamped beam. Nonlinear coupling allows an arbitrary flexural mode to be used as a self-detector…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 H. J. R. Westra , M. Poot , H. S. J. van der Zant , W. J. Venstra

We derive an asymptotic equation for quasi-static, nonlinear surface plasmons propagating on a planar interface between isotropic media. The plasmons are nondispersive with a constant linearized frequency that is independent of their…

Analysis of PDEs · Mathematics 2015-10-29 Ryan G. Halabi , John K. Hunter

Aim of this work is the study of differential equations governing non--dissipative non--linear oscillators; these arise in different physical models such as the treatment of relativistic oscillators, up to generalizations to Duffing's…

Classical Analysis and ODEs · Mathematics 2022-11-03 Martina Boschi , Daniele Ritelli , Giulia Spaletta

In plasma physics, collisionless charged particles are transported following the dynamics of a meanfield Vlasov equation with a self-consistent electric field generated by the charge density. Due to the long range interaction between…

Analysis of PDEs · Mathematics 2024-10-22 Toan T. Nguyen