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[2024-04-03 Wed (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

[2024-04-02 Tue (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

[2024-05-02 Thu (UTC), 1 new article found for nlin.PS Pattern Formation and Solitons]

[2024-05-03 Fri (UTC), 2 new articles found for nlin.PS Pattern Formation and Solitons]

This https://arxiv.org/abs/2310.16078 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Identifying bimodality in data using a proximity-based null model with an application to classifying cell cycle phases using oxidative stress
Detecting communities in large complex networks has found a wide range of applications in physical, biological, and social sciences by identifying mesoscopic groups based on the links between individual units. Moreover, community detection approaches have been generalized to various data analysis tasks by constructing networks whose links depend on individual units' measurements. However, identifying well-separated subpopulations in data sets, e.g., multimodality, still presents challenges as b…

This https://arxiv.org/abs/2306.00394 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Coupled Nonlinear Schrödinger System: Role of Four-Wave Mixing Effect on Nondegenerate Vector Solitons
In this paper, we investigate the role of four-wave mixing effect on the structure of nondegenerate vector solitons and their collision dynamics. For this purpose, we consider the generalized coupled nonlinear Schrödinger (GCNLS) system which describes the evolution and nonlinear interaction of the two optical modes. The fundamental as well as higher-order nondegenerate vector soliton solutions are derived through the Hirota bilinear method and their forms are rewritten in a compact way using …

This https://arxiv.org/abs/2404.11403 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Six decades of the FitzHugh-Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines
The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its applicability, however, extends beyond neuroscience into fields like cardiac physiology, cell division, population dynamics, electronics, and other natural phenomena. In this review spanning six decades of research, we discuss the diverse spatio-temporal dynamical behaviors described by the FitzHugh-Nagumo equation. These incl…

Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices
Anusree Ray, Samanvay Anand, Vivekanand Dabade, Rajesh Chaunsali
https://arxiv.org/abs/2405.01168

Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices
We present a tunable magnetoelastic lattice with a multistable onsite potential, focusing on a tristable potential. Through experimental and numerical analysis, we verify the existence of three types of transition waves with distinct amplitudes and velocities. Additionally, we establish the presence of a scaling law that elucidates various characteristics of these transition waves. By manipulating the onsite potential, we investigate the collision dynamics of two transition waves within the sys…

Evidence of 1 1D photorefractive stripe solitons deep in the Kerr limit
Ludovica Falsi, Alberto Villois, Francesco Coppini, Aharon J. Agranat, Eugenio DelRe, Stefano Trillo
https://arxiv.org/abs/2405.00883

Evidence of 1+1D photorefractive stripe solitons deep in the Kerr limit
The Kerr nonlinearity allows for exact analytic soliton solutions in 1+1D. While nothing excludes that these solitons form in naturally-occurring real-world 3D settings as solitary walls or stripes, their observation has previously been considered unfeasible because of the strong transverse instability intrinsic to the extended nonlinear perturbation. We report the observation of solitons that are fully compatible with the 1+1D Kerr paradigm limit hosted in a 2+1D system. The waves are stripe s…

Delamination Detection in Layered Waveguides using Ostrovsky Wave Packets
J. S. Tamber, D. J. Chappell, M. R. Tranter
https://arxiv.org/abs/2405.00388 http…

Delamination Detection in Layered Waveguides using Ostrovsky Wave Packets
We examine the scattering of Ostrovsky wave packets, generated from an incident solitary wave, in a two layered waveguide with a delamination in the centre and soft (imperfect) bonding either side of the centre. The layers of the waveguide are assumed to consist of different materials, and the strains are described by a system of coupled Boussinesq equations. A semi-analytical approach consisting of matched asymptotic multiple-scale expansions is applied, leading to Ostrovsky equations in soft …