eduzhai > Physical Sciences > Physics Sciences >

Relating Some Nonlinear Systems to a Cold Plasma Magnetoacoustic System

  • Save

... pages left unread,continue reading

Document pages: 21 pages

Abstract: 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 Schrödinger equation.

Please select stars to rate!


0 comments Sign in to leave a comment.

    Data loading, please wait...