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A simple method of variational calculations of the electronic structure of a two-electron atom/ion, primarily near the nucleus, is proposed. The method as a whole consists of a standard solution of a generalized matrix eigenvalue equation,…

原子物理 · 物理学 2024-10-08 Evgeny Z. Liverts

Generation of Alfv\'en and slow magneto-acoustic waves in weakly ionized atmospheres by excitation of the charges-only component of the two fluid (charges and neutrals) plasma is shown to be more or less efficient depending on the energy…

太阳与恒星天体物理 · 物理学 2023-06-16 Paul S. Cally

In this paper, we study two-dimensional steady solitary gravity waves propagating along the surface of a fluid of finite depth. In particular, we can deal with general vorticity distributions and overhanging wave profiles. By conformal…

偏微分方程分析 · 数学 2026-03-24 Jifeng Chu , Zihao Wang , Yong Zhang

Coherent structures, such as solitary waves, appear in many physical problems, including fluid mechanics, optics, quantum physics, and plasma physics. A less studied setting is found in geophysics, where highly viscous fluids couple to…

斑图形成与孤子 · 物理学 2008-01-04 Gideon Simpson , Michael I. Weinstein

Herein, we describe new methods to produce colloidal particle chains of three stiffness regimes that can be observed on a single-particle level, that is, on the level of the monomers that make up the chain; the chains can even be observed…

Hydromagnetic waves, especially those of frequencies in the range of a few milli-Hz to a few Hz observed in the Earth's magnetosphere, are categorized as Ultra Low Frequency (ULF) waves or pulsations. They have been extensively studied due…

空间物理 · 物理学 2014-10-02 Jinlei Zheng , Qiang Hu , J. F. McKenzie , G. M. Webb

We consider steady three-dimensional gravity-capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields,…

数学物理 · 物理学 2018-04-13 Evgeniy Lokharu , Erik Wahlén

Gravitational wave (GW) echoes, if they exist, would be a probe to the near-horizon quantum structure of black hole (BH), which has motivated the searching for the echo signals in GW data. We point out that the echo phenomenology related…

广义相对论与量子宇宙学 · 物理学 2019-08-21 Zhi-Peng Li , Yun-Song Piao

We consider two kinds of pumped Langmuir waves (LWs) in the kinetic regime, $k\lambda_D\gtrsim0.2,$ where $k$ is the LW wavenumber and $\lambda_D$ is the Debye length. They are driven to finite amplitude by a coherent external potential…

等离子体物理 · 物理学 2017-04-26 Denis A. Silantyev , Pavel M. Lushnikov , Harvey A. Rose

We study here the existence of solitary wave solutions of a generalized two-component Camassa-Holm system. In addition to those smooth solitary-wave solutions, we show that there are solitary waves with singularities: peaked and cusped…

偏微分方程分析 · 数学 2010-10-28 Robin Ming Chen , Yue Liu , Zhijun Qiao

Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a…

斑图形成与孤子 · 物理学 2016-08-24 K. R. Khusnutdinova , X. Zhang

Existence and bifurcation results are derived for quasi periodic traveling waves of discrete nonlinear Schrodinger equations with nonlocal interactions and with polynomial type potentials. Variational tools are used. Several concrete…

斑图形成与孤子 · 物理学 2009-09-11 Michal Feckan , Vassilis Rothos

The problem for two-dimensional steady gravity driven water waves with vorticity is investigated. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of…

偏微分方程分析 · 数学 2019-03-18 Vladimir Kozlov , Evgeniy Lokharu

Solitary waves (SWs) are generated in monoatomic (homogeneous) lightly contacting spherical granules by an applied input force of any time-variation and intensity. We consider finite duration shock loads and focus on the transition regime…

斑图形成与孤子 · 物理学 2018-02-14 M. Arif Hasan , Sia Nemat-Nasser

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

凝聚态物理 · 物理学 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

Nonlinear water waves interacting with quasi-one-dimensional, non-uniformly periodic bed profiles are studied numerically in the deep-water regime with the help of approximate equations for envelopes of the forward and backward waves.…

流体动力学 · 物理学 2015-05-14 V. P. Ruban

The distance among two counter-rotating vortex filaments satisfies a beam-type of equation according to the model derived in [15]. This equation has an explicit solution where two straight filaments travel with constant speed at a constant…

偏微分方程分析 · 数学 2018-06-19 Carlos García-Azpeitia

Bushes of normal modes represent the exact excitations in nonlinear physical systems with discrete symmetries [Physica D117 (1998) 43]. The present paper is the continuation of our previous paper [Physica D166 (2002) 208], where these…

斑图形成与孤子 · 物理学 2009-11-10 G. M. Chechin , K. G. Zhukov , D. S. Ryabov

New travelling wave solutions to the Fornberg-Whitham equation are investigated. They are characterized by two parameters. The expresssions for the periodic and solitary wave solutions are obtained.

斑图形成与孤子 · 物理学 2009-08-07 Jiangbo Zhou , Lixin Tian

The effective potential for the Standard Model Higgs field allows two quasi-degenerate vacua; one is our vacuum at the electroweak scale, while the other is at a much higher scale. The latter minimum may be at a scale much smaller than the…

高能物理 - 唯象学 · 物理学 2015-05-08 Naoya Kitajima , Fuminobu Takahashi