On the Variational Problems without Having Desired Variational Symmetries
Author(s) -
Mehdi Nadjafikhah,
Saeed Dodangeh,
Parastoo Kabi-Nejad
Publication year - 2013
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/685212
Subject(s) - mathematics , homogeneous space , symmetry (geometry) , variational method , notation , transformation (genetics) , variational analysis , transformation group , pure mathematics , algebra over a field , mathematical analysis , geometry , arithmetic , biochemistry , chemistry , gene
We will have an attempt to present a method for constructing variational problems without having a desired one-parameter transformation group as a variational symmetry. For this, we use the notation of μ-symmetry which was introduced by Giuseppe Gaeta and Paola Morando in 2004. Moreover, our given method enabled us to solve those constructed variational problems using μ-symmetries.
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