Results 31 to 40 of about 11,159 (266)

Exact Solutions of Travelling Wave Model via Dynamical System Method

Abstract and Applied Analysis, 2016
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
doaj   +1 more source

Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method

Scientific Reports, 2023
In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively.
Nauman Ahmed, Muhammad Z. Baber, Muhammad Sajid Iqbal, Amina Annum, Syed Mansoor Ali, Mubasher Ali, Ali Akgül, Sayed M. El Din   +7 more
doaj   +1 more source

$$\text{Sech}^{2}$$ Sech 2 -type solitary waves and the stability analysis for the KdV–mKdV equation

Scientific Reports
In this article, we investigated the solitary wave solutions of the KdV–mKdV equation using Hirota’s bilinear method. Closed-form analytical single and multiple solitary wave solutions were obtained.
Zhi-Guo Liu, Muhua Liu, Jinliang Zhang
doaj   +1 more source

Mixed‐Metal Promotion in a Manganese‐Molybdenum Oxynitride as Catalyst to Integrate C─C and C─N Coupling Reactions for the Direct Synthesis of Acetonitrile from Syngas and Ammonia

Advanced Materials, EarlyView.
Transition metal oxy/carbo‐nitrides show great promise as catalysts for sustainable processes. A Mn‐Mo mixed‐metal oxynitride attains remarkable performance for the direct synthesis of acetonitrile, an important commodity chemical, via sequential C─N and C─C coupling from syngas (C1) and ammonia (N1) feedstocks.
M. Elena Martínez‐Monje, Wilson Henao, Tania Rodenas, Patricia Concepción, Virginia Pérez Dieste, Alexander Missyul, Giovanni Agostini, Gonzalo Prieto   +7 more
wiley   +1 more source

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +1 more source

Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation [PDF]

Mathematics Interdisciplinary Research, 2019
By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits.
Rasool Kazemi, Masoud Mossadeghi
doaj   +1 more source

In Situ Amine Formation to Modulate MOF‐Derived PdIn N‐Doped Carbon Catalysts

Advanced Materials, EarlyView.
An amine‐assisted approach converts PdIn‐MOF into PdIn intermetallic nanoparticles embedded in N‐doped carbon. In situ‐generated amines trigger early Pd nucleation, producing smaller PdIn domains than direct pyrolysis. Amine sterics and basicity tune composition and particle size, while solvent and amine co‐determine textural features.
Gonzalo Egea, Jordan Santiago Martinez, M. Asunción Molina, Jaime Mazarío, Lucy Costley‐Wood, Christian Cerezo‐Navarrete, Carlo Marini, Eduardo Villalobos‐Portillo, Andrew M. Beale, Pascual Oña‐Burgos   +9 more
wiley   +1 more source

The Propagation of Nonlinear Internal Waves under the Influence of Variable Topography and Earth’s Rotation in a Two-Layer Fluid

Fluids, 2020
A nonlinear equation of the Korteweg–de Vries equation usually describes internal solitary waves in the coastal ocean that lead to an exact solitary wave solution. However, in any real application, there exists the Earth’s rotation.
Nik Nur Amiza Nik Ismail, Azwani Alias, Fatimah N. Harun   +2 more
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Self‐Assembled Monolayers in p–i–n Perovskite Solar Cells: Molecular Design, Interfacial Engineering, and Machine Learning–Accelerated Material Discovery

Advanced Materials, EarlyView.
This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
wiley   +1 more source

Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field

Results in Physics, 2021
This paper focuses on the coupled Konno-Oono equation that arises in the magnetic field. Fifteen sets of the analytical solutions in the form of bright solitary, dark solitary, bright-dark solitary, kinky bright-dark solitary, rough bright solitary and ...
Kang-Jia Wang
doaj   +1 more source