The group-theoretic analysis for d'Alembert's solutions of the basic equation of exterior ballistics

TitleThe group-theoretic analysis for d'Alembert's solutions of the basic equation of exterior ballistics
Publication TypeJournal Article
Year of Publication2015
AuthorsLehenkyi, VI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.02.014
Issue2
SectionMathematics
Pagination14-18
Date Published2/2015
LanguageUkrainian
Abstract

We consider the basic equation of exterior ballistics and prove that all specializations of the drug function presented by d'Alembert in 1744 transform this equation to some Lie–Sheffers equation. Due to this hidden property, it can be converted to the classical Bernoulli or Riccati equations.

Keywordsballistics, Bernoulli equation, Riccati equation
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