Results 41 to 50 of about 143,393 (276)
, 2017 We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear Schr{\"{o}}dinger (NLS)
Brodin, Gert +2 more
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Instability of the solitary waves for the generalized Boussinesq equations [PDF]
, 2018 In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\mathbb R\times \mathbb R, \end{align*} with ...
Li, Bing +3 more
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On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas
Mathematics, 2020 The parity-time symmetric nonlocal nonlinear Schrödinger equation with self-consistent sources (PTNNLSESCS) is used to describe the interaction between an high-frequency electrostatic wave and an ion-acoustic wave in plasmas.
Yehui Huang +4 more
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Degenerate Metric Phase Boundaries
, 1999 The structure of boundaries between degenerate and nondegenerate solutions of Ashtekar's canonical reformulation of Einstein's equations is studied. Several examples are given of such "phase boundaries" in which the metric is degenerate on one side of a ...
I Bengtsson, Ma Y, T Jacobson
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Traveling Wave Solutions of Degenerate Coupled KdV Equation
, 2013 We give a detailed study of the traveling wave solutions of $(\ell=2)$ Kaup-Boussinesq type of coupled KdV equations. Depending upon the zeros of a fourth degree polynomial, we have cases where there exist no nontrivial real solutions, cases where asymptotically decaying to a constant solitary wave solutions, and cases where there are periodic ...
Gurses, M., Pekcan, A.
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, 2018 In this theoretical study, the problem of self-focusing of an X-ray intense laser beam in the thermal quantum plasma is studied. Using a relativistic fluid model and taking into account the hydrodynamic pressure of degenerate electrons in the zero ...
Javan, Naser Sepehri +3 more
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Calculating the Fine Structure of a Fabry-Perot Resonator using Spheroidal Wave Functions [PDF]
, 2010 A new set of vector solutions to Maxwell's equations based on solutions to the wave equation in spheroidal coordinates allows laser beams to be described beyond the paraxial approximation.
Kuhn +11 more
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Collective excitations of degenerate Fermi gases in anisotropic parabolic traps
, 2000 The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. Despite the lack of an obvious spatial symmetry the wave-equation turns out to be separable in elliptical ...
A. Csordás +23 more
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A shooting argument approach to a sharp type solution for nonlinear degenerate Fisher-KPP equations [PDF]
, 1996 In this paper we prove the existence and uniqueness of a travelling-wave solution of sharp type for the degenerate (at u = 0) parabolic equation $u_1 = [D(u)u_x]_x + g(u)$ where D is a strictly increasing function and g is a function which generalizes ...
Kappos, E. +2 more
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Travelling wave solutions for doubly degenerate reaction-diffusion equations [PDF]
ANZIAM Journal, 2010 AbstractThis paper concerns a nonlinear doubly degenerate reaction–diffusion equation which appears in a bacterial growth model and is also of considerable mathematical interest. A travelling wave analysis for the equation is carried out. In particular, the qualitative behaviour of both sharp and smooth travelling wave solutions is analysed.
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