Results 61 to 70 of about 6,339 (163)

The Legacy of the IST

, 2002
We provide a brief review of some of the major research results arising from the method of the Inverse Scattering Transform.Comment: 14 ...
Kaup, David J.
core   +2 more sources

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, Volume 36, Issue 27, 2 April 2026.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

Multiple and Singular Soliton Solutions for Space–Time Fractional Coupled Modified Korteweg–De Vries Equations

International Journal of Analysis and Applications
The focus of this paper is on the nonlinear coupled evolution equations, specifically within the context of the fractional coupled modified Korteweg–de Vries (mKdV) equation, employing the conformable fractional derivative (CFD) approach. The primary objective of this paper is to thoroughly investigate the applicability of the Hirota bilinear method ...
Abaker A. Hassaballa, Fathea M. O. Birkea, Ahmed M. A. Adam, Ali Satty, Elzain A. E. Gumma, Emad A-B. Abdel-Salam, Eltayeb A. Yousif, Mohamed I. Nouh   +7 more
openaire   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Nanoptera in a Period-2 Toda Chain

, 2018
We study asymptotic solutions to a singularly-perturbed, period-2 Toda lattice and use exponential asymptotics to examine `nanoptera', which are nonlocal solitary waves with constant-amplitude, exponentially small wave trains.
Lustri, Christopher J., Porter, Mason A.
core   +1 more source

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb, Manman Hu, Qingpei Sun, Chong Liu, Zhennan Zhu, Victor Calo   +5 more
wiley   +1 more source

The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular "positons"

, 2018
In this article we present a new method for construction of exact solutions of the Landau-Lifshitz-Gilbert equation (LLG) for ferromagnetic nanowires.
Yurov, A. V., Yurov, V. A.
core   +2 more sources

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part II Applications

Geochemistry, Geophysics, Geosystems, Volume 27, Issue 3, March 2026.
Abstract Compaction bands, desiccation cracks, and melt segregation structures are geological patterns relying on the same fundamental manifestations of a universal Turing‐type instability mechanism, as predicted by the thermodynamically consistent reaction–cross‐diffusion framework developed in Part I (Regenauer‐Lieb et al., 2025, https://doi.org/10 ...
Klaus Regenauer‐Lieb, Manman Hu, Qingpei Sun, Chong Liu, Zhennan Zhu, Victor Calo   +5 more
wiley   +1 more source

Exploring multiple and singular soliton solutions for negative-order space-time fractional mKdV equations

Thermal Science
This study on the negative-order fractional space-time modified KdV (nfmKdV) equation provides a comprehensive analysis of how fractional differentials affect the dynamics of solitons in non-linear wave models. We are referring to introduces the nfmKdV equation, a significant extension of the traditional KdV equation, which is commonly used
Sulima Zubair, Hala Ahmed, Batul Mahmoud, Safa Elamin, Hind Atti, Bakri Younis   +5 more
openaire   +1 more source