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In this Letter, weak turbulence theory is used to investigate interactions among Alfven waves and fast and slow magnetosonic waves in collisionless low-beta plasmas. The wave kinetic equations are derived from the equations of…

Astrophysics · Physics 2009-11-13 Benjamin D. G. Chandran

The coaxial wire method is a common and appreciated technique to assess the beam coupling impedance of an accelerator element from scattering parameters. Nevertheless, the results obtained from wire measurements could be inaccurate due to…

Accelerator Physics · Physics 2024-06-17 Antuono Chiara , Zannini Carlo , Mostacci Andrea , Migliorati Mauro

In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis techniques allow us to reformulate…

Analysis of PDEs · Mathematics 2018-02-28 Atanas Stefanov , J. Douglas Wright

We consider a diffusion model with limit cycle reaction functions, in the presence of convection. We select a set of functions derived from a realistic reaction model: the Schnakenberg equations. This resultant form is unsymmetrical. We…

Analysis of PDEs · Mathematics 2009-11-13 E. H. Flach , S. Schnell , J. Norbury

The quantum mechanical tunneling through multiple quantum barriers is a long-standing and well-known problem. Three methods proposed earlier to calculate the tunneling probabilities and energy splitting: (1). Instanton Method (2) WKb…

Materials Science · Physics 2024-05-08 Jatindranath Gain

A surface acoustic wave (SAW) can produce a moving potential wave that can trap and drag electrons along with it. We review work on using a SAW to create moving quantum dots containing single electrons, with the aims of developing a current…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 Christopher J. B. Ford

Superconducting traveling-wave parametric amplifiers (TWPA) have emerged as highly versatile devices, offering broadband amplification with quantum-limited noise performance. They hold significant potential for addressing the readout…

Quantum Physics · Physics 2025-07-24 M. T. Bell

In quantum technologies, it is essential to understand and exploit the interplay of light and matter. We introduce an approach, creating and maintaining the coherence of four oscillators: a global microwave reference field, a…

Quantum Physics · Physics 2023-09-28 Florian Hasse , Deviprasath Palani , Robin Thomm , Ulrich Warring , Tobias Schaetz

Adaptive Waveform Inversion (AWI) applied to transient transmitted wave data can yield estimates of index of refraction (or wave velocity) similar to those obtained by travel time inversion. The AWI objective function measures normalized…

Optimization and Control · Mathematics 2024-12-12 William W. Symes

Traveling wave solutions to Kawahara equation (KE), transmission line (TL), and Korteweg-de Vries (KdV) equation are found by using an elliptic function method which is more general than the $\mathrm{tanh}$-method. The method works by…

Pattern Formation and Solitons · Physics 2017-11-09 Stefan C. Mancas

In this paper, by using bifurcation method, we successfully find the Fornberg-Whitham equation has a type of traveling wave solutions called kink-like wave solutions and antikinklike wave solutions. They are defined on some semifinal…

Pattern Formation and Solitons · Physics 2009-07-31 Jiangbo Zhou , Lixin Tian

Scalar conservation laws with non-convex fluxes have shock wave solutions that violate the Lax entropy condition. In this paper, such solutions are selected by showing that some of them have corresponding traveling waves for the equation…

Analysis of PDEs · Mathematics 2014-10-21 Michael Shearer , Kimberly R. Spayd , Ellen R. Swanson

This paper presents a rigorous optimization technique for wireless power transfer (WPT) systems enhanced by passive elements, ranging from simple reflectors and intermedi- ate relays all the way to general electromagnetic guiding and…

Optimization and Control · Mathematics 2017-11-22 Hans-Dieter Lang , Costas D. Sarris

Beamforming in plane-wave imaging (PWI) is an essential step in creating images with optimal quality. Adaptive methods estimate the apodization weights from echo traces acquired by several transducer elements. Herein, we formulate…

Image and Video Processing · Electrical Eng. & Systems 2020-12-02 Sobhan Goudarzi , Amir Asif , Hassan Rivaz

A unified geometric approach for the stability analysis of traveling pulse solutions for reaction-diffusion equations with skew-gradient structure has been established in a previous paper [9], but essentially no results have been found in…

Analysis of PDEs · Mathematics 2020-10-13 Qin Xing

Wave propagation is a common occurrence in all of physics. A linear approximation provides a simpler way to describe various fields related to observable phenomena in laboratory physics as well as astronomy and cosmology, allowing us to…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Lucas T. Santana , João C. Lobato , Ribamar R. R. Reis , Maurício O. Calvão

Resistive drift wave turbulence is a multipurpose paradigm that can be used to understand transport at the edge of fusion devices. The Hasegawa-Wakatani model captures the essential physics of drift turbulence while retaining the simplicity…

Plasma Physics · Physics 2017-06-12 Johan Anderson , Bogdan Hnat

We present a general theory of three-dimensional nonparaxial spatially-accelerating waves of the Maxwell equations. These waves constitute a two-dimensional structure exhibiting shape-invariant propagation along semicircular trajectories.…

Optics · Physics 2014-02-14 Miguel A. Bandres , Miguel A. Alonso , Ido Kaminer , Mordechai Segev

Wave packets provide a well established and versatile tool for studying time-dependent effects in molecular physics. Here, we demonstrate the application of wave packets to mesoscopic nanodevices at low temperatures. The electronic…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 Tobias Kramer , Christoph Kreisbeck , Viktor Krueckl

We propose a simple algebraic method for generating classes of traveling wave solutions for a variety of partial differential equations of current interest in nonlinear science. This procedure applies equally well to equations which may or…

Pattern Formation and Solitons · Physics 2010-04-20 Dionisio Bazeia , Ashok Das , Laercio Losano , Mauro Jose dos Santos