Xu, Lan A Hamiltonian approach for a plasma physics problem. (English) Zbl 1219.82034 Comput. Math. Appl. 61, No. 8, 1909-1911 (2011). 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. Cited in 5 Documents MSC: 82-08 Computational methods (statistical mechanics) (MSC2010) 82D10 Statistical mechanics of plasmas Keywords:Hamiltonian approach; periodic solution; amplitude-frequency relationship PDF BibTeX XML Cite \textit{L. Xu}, Comput. Math. Appl. 61, No. 8, 1909--1911 (2011; Zbl 1219.82034) Full Text: DOI References: [1] Acton, J. R.; Squire, P. T., Solving Equations with Physical Understanding (1985), Adam Hilger Ltd.: Adam Hilger Ltd. Bristol, Boston [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.