Results 131 to 140 of about 23,641,221 (298)

Lie symmetry analysis and exact solutions of the Sawada--Kotera equation

TURKISH JOURNAL OF MATHEMATICS, 2017
Summary: In the present paper, the Sawada-Kotera equation is considered by Lie symmetry analysis. All of the geometric vector fields to the Sawada-Kotera equation are obtained, and then the symmetry reductions and exact solutions of the Sawada-Kotera equation are investigated.
openaire   +1 more source

Lie Symmetry Analysis of Modified Diffusive Predator-prey Competition System of Equations

, 2020
In this paper, a nonlinear fourth order evolution equation is investigated by the Lie symmetry analysis approach. All the geometric vector fields and the Lie groups of the evolution equation are obtained.
T.J.O, Aminer, Odhiambo, Francis, M.E, Okoya   +2 more
core  

Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method

, 2020
In this paper, the time-fractional Fujimoto–Watanabe equation is investigated using the Riemann–Liouville fractional derivative. Symmetry groups and similarity reductions are obtained by virtue of the Lie symmetry analysis approach.
Yong Fang, Baoyong Guo, Huanhe Dong
core   +1 more source

Rational Control of Antibody Orientation for Enhancing Sensitivity and Specificity in Lateral Flow Immunoassays With Clinical Validation

Advanced Healthcare Materials, EarlyView.
Systematic investigation of antibody orientation strategies in lateral flow immunoassays reveals that a para‐substituted (aminomethyl)phenylboronic acid mediated probe (P‐6) combined with a biotin‐streptavidin test‐line modification achieves a synergistic 14‐ to 19‐fold sensitivity gain over conventional conjugation. Furthermore, multiplexed detection,
Pin‐Hao Wang, Shunmuga Nathan Shunmuga Nainar, Bing‐Han Zhuang, Shun‐Mao Yang, Hong‐Cheu Lin, Yang‐Hsiang Chan   +5 more
wiley   +1 more source

Lie symmetry analysis and exact solutions of conformable time-space fractional Benjamin-Bona-Mahony equations

African Scientific Reports
This article investigates the invariance properties of nonlinear fractional partial differential equations involving conformable fractional derivatives in both time and space through the framework of Lie symmetry analysis.
Amit, Rajeev Kumar, Anupma Bansal, Abdallah M. Talafha, Sandeep Malik   +4 more
doaj   +1 more source

Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation

Open Mathematics, 2019
In this paper, Lie symmetry analysis is performed for the equation derived from $(2+1)$-dimensional higher order Broer-Kaup equation. Meanwhile, the optimal system and similarity reductions based on the Lie group method are obtained.
Wang Hengtai, Chen Huiwen, Ouyang Zigen, Li Fubin   +3 more
doaj   +1 more source

Modeling Early Metastatic Progression in Breast Cancer Using a Barrier‐Free, Perfusable Spheroid‐on‐a‐Chip Platform

Advanced Healthcare Materials, EarlyView.
Open‐port, barrier‐free microfluidic device for modeling early metastatic progression. A centrally positioned tumor spheroid releases invasive cells that migrate through the surrounding matrix and intravasate into endothelialized lateral channels.
Vira Sharko, Claudia Olaizola‐Rodrigo, Clara Bayona, Teodora Ranđelović, Rosa Monge, Estela Solanas, Sara Oliván, Ignacio Ochoa   +7 more
wiley   +1 more source

Evidence for Itinerant Ferromagnetic Flat Bands Producing Large Transverse Responses

Advanced Materials, EarlyView.
Itinerant ferromagnetic flat bands are demonstrated in GdCo5 with a high Curie temperature of 940K, a stacked honeycomb–kagome lattice, through angle‐resolved photoemission spectroscopy and magneto‐thermoelectric measurements. These topological flat bands generate large Berry curvaturte, producing gigantic anomalous Nernst effect with record‐high ...
Susumu Minami, Yangming Wang, Seigo Souma, Hiroto Nakamura, Akito Sakai, Takumi Osumi, Hang Su, Hikaru Watanabe, Shun'ichiro Kurosawa, Rikuto Oiwa, Daisuke Nishio‐Hamane, Kosuke Nakayama, Takuya Nomoto, Ryotaro Arita, Takafumi Sato, Satoru Nakatsuji   +15 more
wiley   +1 more source

Correlated dynamics of immune network and sl(3, R) symmetry algebra

Computational and Mathematical Biophysics
We observed the existence of periodic orbits in immune network under transitive solvable Lie algebra. In this article, we focus to develop condition of maximal Lie algebra for immune network model and use that condition to construct a vector field of ...
Dutta Ruma, Stan Aurel
doaj   +1 more source

LEAD: Literature Enhanced Ab Initio Discovery of Nitride Dusting Layers for Enhanced Tunnel Magnetoresistance and Lower Resistance Magnetic Tunnel Junctions

Advanced Materials, EarlyView.
Magnetic tunnel junctions (MTJs) using MgO tunnel barriers face challenges of high resistance‐area product and low tunnel magnetoresistance (TMR). To discover alternative materials, Literature Enhanced Ab initio Discovery (LEAD) is developed. The LEAD‐predicted materials are theoretically evaluated, showing that MTJs with dusting of ScN or TiN on ...
Sabiq Islam, William S. Rogers, Chen‐Yu Hu, Ming‐Yuan Song, Xinyu Bao, Shehrin Sayed, Jean Anne C. Incorvia   +6 more
wiley   +1 more source