A note on the improved tan(ϕ(ξ)/2)-expansion method
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DOI: 10.1016/j.ijleo.2016.11.029
Abstract: Abstract Recently, Manafian et al. proposed and developed an effective method named the improved tan(ϕ(ξ)/2)-expansion method (ITEM) to seek exact solutions of some partial differential equations. In this article, by making use of general solutions… read more here.
Keywords: tan expansion; expansion method; general solutions; method ... See more keywords
Janet bases and general solutions of Maxwell’s equations in vacuum
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DOI: 10.1063/5.0288741
Abstract: By transforming a system of partial differential equations into a Janet basis, one obtains the most comprehensive information regarding its solutions without explicitly determining them. This includes all possible relationships between their derivatives that are… read more here.
Keywords: differential equations; general solutions; solutions maxwell; janet bases ... See more keywords
A Directive for obtaining (algebraically) general solutions in General Relativity based on the canonical Killing tensor forms
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DOI: 10.1088/1361-6382/ae1093
Abstract: This work follows earlier investigations in which the existence of canonical Killing tensor forms and the application of general null tetrad transformations led to a variety of solutions (Petrov types D, III, N) in vacuum… read more here.
Keywords: killing tensor; general solutions; algebraically general; canonical killing ... See more keywords