Exact solutions for a system of nonlinear plasma fluid equations
Prahovic, M. G. ; Hazeltine, R. D. ; Morrison, P. J.
New York, NY : American Institute of Physics (AIP)
Published 1992
New York, NY : American Institute of Physics (AIP)
Published 1992
| ISSN: |
1089-7666
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|---|---|
| Source: |
AIP Digital Archive
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| Topics: |
Physics
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| Notes: |
A method is presented for constructing exact solutions to a system of nonlinear plasma fluid equations that combines the physics of reduced magnetohydrodynamics and the electrostatic drift-wave description of the Charney–Hasegawa–Mima equation. The system has nonlinearities that take the form of Poisson brackets involving the fluid field variables. The method relies on modifying a class of simple equilibrium solutions, but no approximations are made. A distinguishing feature is that the original nonlinear problem is reduced to the solution of two linear partial differential equations, one fourth order and the other first order. The first-order equation has Hamiltonian characteristics and is easily integrated, supplying information about the propagation of solutions.
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| Type of Medium: |
Electronic Resource
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| URL: |