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Linear superposition of nonlinear waves

Published online by Cambridge University Press:  01 April 2009

SWADESH MAHAJAN  and
HIDEAKI MIURA
SWADESH MAHAJAN
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, TX 78712, USA (mahajan@mail.utexas.edu)
HIDEAKI MIURA
Affiliation:
Division of Simulation Science, National Institute for Fusion Science, 322-6 Oroshi-cho, Toki, Gifu 509-5292, Japan
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Abstract

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Exact nonlinear (arbitrary amplitude) wave-like solutions of an incompressible, magnetized, non-dissipative two-fluid system are found. It is shown that, in 1-D propagation, these fully nonlinear solutions display a rare property; they can be linearly superposed.

Type
Letter to the Editor
Information
Journal of Plasma Physics , Volume 75 , Issue 2 , April 2009 , pp. 145 - 152
Copyright
Copyright © Cambridge University Press 2008

References

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