Trigonometric and hyperbolic functions method for constructing analytic solutions to nonlinear plane magnetohydrodynamics equilibrium equations

doi:10.1063/1.4913475

DOE OSTI · 22408083

Trigonometric and hyperbolic functions method for constructing analytic solutions to nonlinear plane magnetohydrodynamics equilibrium equations

Abstract

In this paper, we present a solution method for constructing exact analytic solutions to magnetohydrodynamics (MHD) equations. The method is constructed via all the trigonometric and hyperbolic functions. The method is applied to MHD equilibria with mass flow. Applications to a solar system concerned with the properties of coronal mass ejections that affect the heliosphere are presented. Some examples of the constructed solutions which describe magnetic structures of solar eruptions are investigated. Moreover, the constructed method can be applied to a variety classes of elliptic partial differential equations which arise in plasma physics.

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY ANALYTICAL SOLUTION EQUILIBRIUM HELIOSPHERE MAGNETOHYDRODYNAMICS NONLINEAR PROBLEMS PARTIAL DIFFERENTIAL EQUATIONS PLASMA SOLAR ACTIVITY SOLAR SYSTEM

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2015-02-15. Trigonometric and hyperbolic functions method for constructing analytic solutions to nonlinear plane magnetohydrodynamics equilibrium equations. https://doi.org/10.1063/1.4913475

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