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Specific solutions of the nonlinear Schr\"odinger equation, such as the Peregrine breather, are considered to be prototypes of extreme or freak waves in the oceans. An important question is, whether these solutions also exist in the…

Pattern Formation and Solitons · Physics 2019-09-27 Leo Dostal , Marten Hollm , Edwin Kreuzer

In this paper, we study the compatibility of biased domain wall scenarios with current gravitational wave data. We show that the Cosmic Microwave Background bounds on the fractional density of gravitational waves at the time of decoupling…

General Relativity and Quantum Cosmology · Physics 2024-06-05 D. Grüber , P. P. Avelino , L. Sousa

We study the gravitational perturbations of thick domain walls. The refraction index and spin properties of the solutions interior to the wall are analyzed in detail. It is shown that the gravitational waves suffer a refraction process by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Bento , Jose P. S. Lemos

We study the production of gravitational waves from cosmic domain walls created during phase transition in the early universe. We investigate the process of formation and evolution of domain walls by running three dimensional lattice…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Takashi Hiramatsu , Masahiro Kawasaki , Ken'ichi Saikawa

This article is devoted to the proof of the well-posedness of a model describing waves propagating in shallow water in horizontal dimension $d=2$ and in the presence of a fixed partially immersed object. We first show that this…

Analysis of PDEs · Mathematics 2023-06-28 David Lannes , Tatsuo Iguchi

The geometry and morphology of magnetic domain walls (DWs) are closely related to their dynamics when driven by external forces. Under some reliable approximations DWs can be considered self-affine interfaces, so universal laws govern their…

Disordered Systems and Neural Networks · Physics 2023-12-29 P. Domenichini , G. Pasquini , M. G. Capeluto

Numerical simulations of the unidirectional random waves are performed within the Korteweg -de Vries equation to investigate the statistical properties of surface gravity waves in shallow water. Nonlinear evolution shows the relaxation of…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Anna Kokorina , Efim Pelinovsky

We introduce a dynamic stabilization scheme universally applicable to unidirectional nonlinear coherent waves. By abruptly changing the waveguiding properties, the breathing of wave packets subject to modulation instability can be…

Domain walls (DWs) can be produced when a discrete symmetry is spontaneously broken, and long-lived DWs can dominate the energy density of the universe. In this work, we explore the possibility that a "domain wall dominant (DWD)" phase…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-06 Sungwoo Hong , Sung Mook Lee , Qiuyue Liang

We show that domain walls are probes that enable one to distinguish large-distance modified gravity from general relativity (GR) at short distances. For example, low-tension domain walls are stealth in modified gravity, while they do…

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , Gregory Gabadadze , Oriol Pujolas , Rakibur Rahman

Domain wall networks have attracted renewed interest, particularly in relation to the dynamics of network collapse. Accurately describing this process is challenging and typically requires large scale numerical simulations. Here we adopt a…

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

Analysis of PDEs · Mathematics 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez

We investigate the properties of domain walls arising from non-Abelian discrete symmetries, which we refer to as non-Abelian domain walls. We focus on $S_4$, one of the most commonly used groups in lepton flavour mixing models. The…

High Energy Physics - Phenomenology · Physics 2025-04-23 Bowen Fu , Stephen F. King , Luca Marsili , Silvia Pascoli , Jessica Turner , Ye-Ling Zhou

Using weak wave turbulence theory analysis, we distinguish three main regimes for 2D stratified fluids in the dimensionless parameter space defined by the Froude number and the Reynolds number: discrete wave turbulence, weak wave…

Fluid Dynamics · Physics 2026-03-30 Vincent Labarre , Michal Shavit

In pattern-forming systems, competition between patterns with different wave numbers can lead to domain structures, which consist of regions with differing wave numbers separated by domain walls. For domain structures well above threshold…

patt-sol · Physics 2015-06-26 David Raitt , Hermann Riecke

The statistical properties of a large number of weakly nonlinear waves can be described in the framework of the Weak Turbulence Theory. The theory is based on the hypothesis of an asymptotically large system. In experiments, the systems…

Fluid Dynamics · Physics 2018-09-07 Roumaissa Hassaini , Nicolas Mordant

We calculate microscopically the viscous friction coefficient and the effective mass of domain walls separating regions of opposite chirality in p-wave superconductors with k_x\pm ik_y order parameter. The domain wall viscosity and inertia…

Superconductivity · Physics 2015-06-03 K. V. Samokhin

Plane symmetric perturbations are applied to an axially symmetric Kasner spacetime which leads to no momentum flow orthogonal to the planes of symmetry. This flow appears laminar and the structure can be interpreted as a domain wall. We…

General Relativity and Quantum Cosmology · Physics 2012-01-26 George Kotsopoulos , Charles C. Dyer

The nonlinear quantization of the domain wall (relativistic membrane of codimension 1) is considered. The membrane dust equation is considered as an analogue of the Hamilton-Jacobi equation, which allows us to construct its quantum…

General Relativity and Quantum Cosmology · Physics 2021-12-22 M. G. Ivanov

The influence of the curvature on the dynamical properties of transversal domain walls in a thin antiferromagnetic wire is studied theoretically. Equations of motion for antiferromagnetic domain wall are obtained within the collective…

Strongly Correlated Electrons · Physics 2022-02-16 Kostiantyn V. Yershov