Results 31 to 40 of about 5,863,832 (163)

N-Lump to the (2+1)-Dimensional Variable-Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Complexity, 2022
In this research, the (2 + 1)-dimensional (D) variable-coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied.
Junjie Li, Jalil Manafian, Aditya Wardhana, Ali J. Othman, Ismail Husein, Mohaimen Al-Thamir, Mostafa Abotaleb   +6 more
doaj   +1 more source

Continuous limit, various exact solutions, kink soliton resonant phenomena and dynamical behaviors for a discrete Burgers equation

Results in Physics, 2022
The Burgers equation can describe some phenomena such as turbulence, shock wave and traffic flow dynamics problems. Under consideration in this paper is a discrete Burgers equation, which can be viewed as the discrete counterpart of Burgers equation ...
Ting Zhang, Xiao-Yong Wen, Zhe Lin
doaj   +1 more source

Multi-Soliton Solutions to Nonlinear Hirota-Ramani Equation [PDF]

, 2017
A direct rational exponential scheme is proposed to construct exact multi-soliton nonlinear partial differential equations. As an example we consider the well-known nonlinear Hirota-Ramani equation to investigate one-soliton, two-soliton and three ...
Md. Nur Alam, Harun-Or Roshid, Harun-Or-Roshid,, Nur Alam, Md.   +3 more
core   +1 more source

Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity

Fractal and Fractional, 2023
In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives.
Rashid Ali, Ahmed S. Hendy, Mohamed R. Ali, Ahmed M. Hassan, Fuad A. Awwad, Emad A. A. Ismail   +5 more
doaj   +1 more source

On‐Chip Photonic Neural Network Architectures

Advanced Optical Materials, EarlyView.
This review presents a comprehensive overview of on‐chip photonic neural network architectures, covering key photonic building blocks, representative network types, and emerging applications. Recent advances, implementation challenges, and future directions are examined, highlighting the potential of integrated photonics to enable ultrafast, energy ...
Seokjin Hong, Berkay Neseli, Seungyeon Cho, Seungsoo Lee, Yeonjun Kim, Seungyoon Choi, Hyo‐Hoon Park, Hamza Kurt   +7 more
wiley   +1 more source

Rational solitons of wave resonant-interaction models [PDF]

, 2013
Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio, Lombardo, Sara, Lombardo, Sara; id_orcid   +2 more
core   +1 more source

Novel Soliton Propagation Governed by a Multi-Component Generalized NLS Equation with Fractional Order and Variable Coefficients

Fractal and Fractional
This study reveals novel soliton propagation governed by a variable-coefficient fractional-order multi-component generalized nonlinear Schrödinger (vfmgNLS) equation with the Riesz derivative, using an analytical approach.
Jinling Zhang, Chunxia An, Sheng Zhang
doaj   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source

Thermal Control of Concentric Topographies Patterned by Dynamic Electro‐Templated Generated Chiral Solitonic Structures

Advanced Science, EarlyView.
An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto, Hanqing Zhao, Dirk J. Broer, Ivan I. Smalyukh, Danqing Liu   +4 more
wiley   +1 more source

The bilinear neural network method for solving Benney–Luke equation

Partial Differential Equations in Applied Mathematics
Benney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad   +3 more
doaj   +1 more source