Relating Some Nonlinear Systems to a Cold Plasma Magnetoacoustic System

• 作者: Floyd L. Williams Jennie D’Ambroise
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Cold Plasma Magnetoacoustic Waves Resonance Nonlinear Schrödinger Equation Reaction Diffusion System Jackiw-Teitelboim Black Hole Dilaton Field Ricci Scalar Curvature Jacobi Elliptic Function
• 年，卷（期）: 2020,（6）
• 页码范围: 886-906
• 页数: 21页
• 分类号: O17

摘要

Using a Gurevich-Krylov solution that describes the propagation of nonlinear magnetoacoustic waves in a cold plasma, we construct solutions of various other nonlinear systems. These include, for example, Madelung fluid, reaction diffusion, Broer-Kaup, Boussinesq, and Hamilton-Jacobi-Bellman systems. We also construct dilaton field solutions for a Jackiw-Teitelboim black hole with a negative cosmological constant. The black hole metric corresponds to a cold plasma metric by way of a change of variables, and the plasma dilatons and cosmological constant also have an expression in terms of parameters occurring in the Gurevich-Krylov solution. A dispersion relation, moreover, links the magnetoacoustic system and a resonance nonlinear Schr<span style="white-space:nowrap;">&ouml;</span>dinger equation.