Infinitesimal weak symmetries, of nonlinear differential equations in two independent variables

A. V. Dzhamay, E. M. Vorob'Ev

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Non-classical infinitesimal weak symmetries of PDE introduced by Olver and Rosenau (1987) are analysed. In the case of PDE in two independent variables, it is demonstrated that obtaining such symmetries is equivalent to obtaining the two-dimensional modules of non-classical partial symmetries. The Boussinesq and the nonlinear heat equations are treated from the point of view of non-classical symmetries.

Original languageEnglish
Article number019
Pages (from-to)5541-5549
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume27
Issue number16
DOIs
Publication statusPublished - 1994
Externally publishedYes

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