Results 51 to 60 of about 89,617 (169)

Interchain Coupling Effects and Solitons in CuGeO_3

, 1997
The effects of interchain coupling on solitons and soliton lattice structures in CuGeO3 are explored. It is shown that interchain coupling substantially increases the soliton width and changes the soliton lattice structures in the incommensurate phase ...
A. R. Bishop, I. Affleck, I. S. Gradshteyn, Jun Zang, Sudip Chakravarty   +4 more
core   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

On the soliton width in the incommensurate phase of spin-Peierls systems

, 1997
We study using bosonization techniques the effects of frustration due to competing interactions and of the interchain elastic couplings on the soliton width and soliton structure in spin-Peierls systems.
Ariel Dobry, D. Poilblanc, G. Castilla, I. Affleck, J. E. Lorenzo, J. Riera, J. Riera, J. Zang, J. Zang, J.-L. Lussier, José A. Riera, K. Hirota, M. Hase, M. Saint-Paul, S. Haas, T. Nakano, V. Kiryukhin, V. Kiryukhin   +17 more
core   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases

, 2014
We show that a single dark soliton can exist in a spin-orbit-coupled Fermi gas with a high spin imbalance, where spin-orbit coupling favors uniform superfluids over non-uniform Fulde-Ferrell-Larkin-Ovchinnikov states, leading to dark soliton excitations ...
Mao, Li, Wu, Biao, Xu, Yong, Zhang, Chuanwei   +3 more
core   +1 more source

Electrospun conducting polymers: recent trends and the transition towards a sustainable future

Polymer International, EarlyView.
This review discusses the electrospinning of conducting polymers, detailing procedures, fibrous morphologies, improved properties, applications in electronics, and challenges, while outlining future directions for nanofibre‐based devices in various fields.
Xenofon Karagiorgis, Sofia Sandhu, Peter J. Skabara, Ravinder Dahiya   +3 more
wiley   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6492-6506, 15 May 2026.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Lithium Niobate Quadratic Integrated Nonlinear Photonics: Enabling Ultra‐Wide Bandwidth and Ultrafast Photonic Engines

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
This perspective surveys emerging quantum and classical photonic applications across operating wavelengths and timescales, highlighting persistent technological gaps in integrated light sources. We examine the unique advantages of quadratic nonlinear photonics on the thin‐film lithium niobate (TFLN) platform and discuss strategies for realizing ...
Meng Tian, Guanyu Han, Ziyao Feng, Yu Liu, Yu Wang, Wenjun Deng, Ayed Al Sayem, Qiushi Guo   +7 more
wiley   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source