dc.contributor.author | Litvinenko, Yuri E. | |
dc.date.accessioned | 2010-11-30T21:42:16Z | |
dc.date.available | 2010-11-30T21:42:16Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Litvinenko, Y.E. (2010). A similarity reduction of the Grad-Shafranov equation. Physics of Plasmas, 17(7), 074502. | en_NZ |
dc.identifier.uri | https://hdl.handle.net/10289/4828 | |
dc.description.abstract | A 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.mimetype | application/pdf | |
dc.language.iso | en | |
dc.publisher | American Institute of Physics | en_NZ |
dc.relation.uri | http://pop.aip.org/resource/1/phpaen/v17/i7/p074502_s1 | en_NZ |
dc.rights | Copyright (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.subject | mathematics | en_NZ |
dc.subject | maths | en_NZ |
dc.subject | Grad–Shafranov equation | en_NZ |
dc.title | A similarity reduction of the Grad-Shafranov equation | en_NZ |
dc.type | Journal Article | en_NZ |
dc.identifier.doi | 10.1063/1.3456519 | en_NZ |
dc.relation.isPartOf | Physics of Plasmas | en_NZ |
pubs.begin-page | 1 | en_NZ |
pubs.elements-id | 35525 | |
pubs.end-page | 3 | en_NZ |
pubs.issue | 7 | en_NZ |
pubs.volume | 17 | en_NZ |