Results 41 to 50 of about 12,068 (314)
Traveling wave solutions to the Allen–Cahn equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 For the Allen–Cahn equation, it is well known that there is a monotone standing wave joining the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen–Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillations and they are obtained with the aid of ...
Chen, Chao-Nien, Coti Zelati, Vittorio
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Microsphere Autolithography—A Scalable Approach for Arbitrary Patterning of Dielectric Spheres
Advanced Functional Materials, EarlyView.MicroSphere Autolithography (µSAL) enables scalable fabrication of patchy particles with customizable surface motifs. Focusing light through dielectric microspheres creates well defined, tunable patches via a conformal poly(dopamine) photoresist. Nearly arbitrary surface patterns can be achieved, with the resolution set by the index contrast between ...
Elliott D. Kunkel +3 more
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New exact solutions for Kudryashov–Sinelshchikov equation
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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Local Thermal Conductivity Patterning in Rotating Lattice Crystals of Anisotropic Sb2S3
Advanced Functional Materials, EarlyView.Microscale control of thermal conductivity in Sb2S3 is demonstrated via laser‐induced rotating lattice crystals. Thermal conductivity imaging reveals marked thermal transport anisotropy, with the c axis featuring amorphous‐like transport, whereas in‐plane directions (a, b) exhibit 3.5x and 1.7x larger thermal conductivity.
Eleonora Isotta +13 more
wiley +1 more source
Journal of Ocean Engineering and Science, 2021 We have utilized three novel methods, called generalized direct algebraic, modified F-expansion and improved simple equation methods to construct traveling wave solutions of the system of shallow water wave equations and modified Benjamin-Bona-Mahony ...
Asghar Ali, Aly R. Seadawy
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Traveling wave solutions for integro-difference systems
Journal of Differential Equations, 2015 33 ...
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3D Digital Light Processing of Redox‐Active Polymers for Electrochemical Applications
Advanced Functional Materials, EarlyView.3D printing of electrochemically switchable conducting polymers is achieved by Digital Light Processing of redox‐active carbazole‐based polymer materials. Complex 2D and 3D architectures including dot arrays and pyramids clearly show the potential for novel 3D switchable electrochemical devices for sensors, electrochromic displays as well as 3D printed
Christian Delavier +4 more
wiley +1 more source
Construction of Mechanically Preserved Optical Travelling Wave Solution for Fractional Generalized Reaction Duffing Model [PDF]
Journal of Applied and Computational MechanicsThis research paper presents an efficient analytical method, namely the Sardar Sub-Equation Method (SSM), to construct new families of traveling solitary wave solutions of Fractional Partial Differential Equations (FPDEs), i.e., the Fractional Phi-Four ...
Ameer Said +4 more
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Traveling wave solutions of the Gardner equation in dusty plasmas
Results in Physics, 2022 In this paper, we mainly study the Gardner equation that models the propagation of dust ion acoustic waves. By using the Exp-function method, abundant traveling wave solutions like bright solitary, bright-dark solitary, dark solitary (type-1, type-2 ...
Kang-Jia Wang
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Three‐dimensional Antimony Sulfide Based Flat Optics
Advanced Functional Materials, EarlyView.This work presents the development of a grayscale electron beam lithography (g‐EBL) method for fabricating antimony trisulfide (Sb2S3) nanostructures with customizable 3D profiles. The refractive index of g‐EBL patterned Sb2S3 is determined based on the synergy of genetic algorithm and transfer matrix method.
Wei Wang +18 more
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