Results 71 to 80 of about 3,706 (195)

Exceptional Light Propagation via Generalized Bulk‐Edge Correspondence

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
We show that unlike in electronic systems, localized edge states in topological photonics are governed not only by nontrivial bulk topology, but also by polarization‐dependent light‐line confinement conditions inherent to Maxwell's equations. This fundamentally generalized bulk‐edge correspondence unlocks new regimes of tunable near‐cutoff localization
Heitor da Silva, Sergey K. Ivanov, Isaac Suárez, José R. Salgueiro, Albert Ferrando   +4 more
wiley   +1 more source

Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

Alexandria Engineering Journal, 2020
A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule and two kinds of fractional dual-function methods with the Mittag–Leffler function is presented to solve fractional nonlinear models.
Ben-Hai Wang, Yue-Yue Wang, Chao-Qing Dai, Yi-Xiang Chen   +3 more
doaj   +1 more source

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Advanced Materials Interfaces, Volume 13, Issue 13, 7 July 2026.
Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav, Shakti S. Gupta, Roger A. Sauer   +2 more
wiley   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves

Open Physics
The ZK–mZK–BBM equation plays a crucial role in actually depicting the gravity water waves with the long wave region. In this article, the bilinear forms of the (2 + 1)-dimensional ZK–mZK–BBM equation were derived using variable transformation. Then, the
Wang Chunxia, Yin Xiaojun, Cao Na, Xu Liyang, Bai Shuting   +4 more
doaj   +1 more source

Competent closed form soliton solutions to the Riemann wave equation and the Novikov-Veselov equation

Results in Physics, 2020
The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and ...
Hemonta Kumar Barman, Aly R. Seadawy, M. Ali Akbar, Dumitru Baleanu   +3 more
doaj   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río, R. Rodríguez‐Gigirey, R. Vázquez‐Lorenzo   +2 more
wiley   +1 more source

Mathematical analysis of shallow water wave and the generalized Hirota-Satsuma-Ito models: Soliton solutions and their interactions

Results in Applied Mathematics
This study investigates the mathematical properties and soliton dynamics of the (2+1)-dimensional extended Shallow Water Wave (eSWW) and the generalized Hirota-Satsuma-Ito (gHSI) models by Hirota bilinear scheme.
M. Belal Hossen, Md. Towhiduzzaman, Harun-Or-Roshid, K. M. Abdul A. Woadud   +3 more
doaj   +1 more source

On one-soliton solutions of the Q2 equation in the ABS list

Advances in Difference Equations, 2019
In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting them.
Qiang Cheng, Cheng Zhang, Danda Zhang, Da-jun Zhang   +3 more
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source