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A Hamiltonian approach for a plasma physics problem. (English) Zbl 1219.82034

Summary: A Hamiltonian approach is applied to a plasma physics problem. A conservative oscillator admits a Hamiltonian invariant, which can be used to determine the approximate solution. The solution procedure is of deceptive simplicity and the insightful solutions obtained are of high accuracy.

MSC:

82-08 Computational methods (statistical mechanics) (MSC2010)
82D10 Statistical mechanics of plasmas
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References:

[1] Acton, J.R.; Squire, P.T., Solving equations with physical understanding, (1985), Adam Hilger Ltd. Bristol, Boston
[2] J.H. He, Non-perturbative methods for strongly nonlinear problems, Dissertation, de-Verlag im Internet GmbH, Berlin, 2006.
[3] He, J.H., Hamiltonian approach to nonlinear oscillators, Phys. lett. A, 374, 2312-2314, (2010) · Zbl 1237.70036
[4] He, J.H., Preliminary report on the energy balance for nonlinear oscillations, Mech. res. comm., 29, 107-111, (2002) · Zbl 1048.70011
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