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dc.contributor.authorLitvinenko, Yuri E.
dc.date.accessioned2010-11-30T21:42:16Z
dc.date.available2010-11-30T21:42:16Z
dc.date.issued2010
dc.identifier.citationLitvinenko, Y.E. (2010). A similarity reduction of the Grad-Shafranov equation. Physics of Plasmas, 17(7), 074502.en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/4828
dc.description.abstractA direct method for finding similarity reductions of partial differential equations is applied to a specific case of the Grad–Shafranov equation. As an illustration of the method, the frequently used Solov’ev equilibrium is derived. The method is employed to obtain a new family of exact analytical solutions, which contain both the classical and nonclassical group-invariant solutions of the Grad–Shafranov equation and thus greatly extends the range of the available analytical solutions. All the group-invariant solutions based on the classical Lie symmetries are shown to be particular cases in the new family of solutions.en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.urihttp://pop.aip.org/resource/1/phpaen/v17/i7/p074502_s1en_NZ
dc.rightsCopyright (2010) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.en_NZ
dc.subjectmathematicsen_NZ
dc.subjectmathsen_NZ
dc.subjectGrad–Shafranov equationen_NZ
dc.titleA similarity reduction of the Grad-Shafranov equationen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1063/1.3456519en_NZ
dc.relation.isPartOfPhysics of Plasmasen_NZ
pubs.begin-page1en_NZ
pubs.elements-id35525
pubs.end-page3en_NZ
pubs.issue7en_NZ
pubs.volume17en_NZ


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