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On the Variational Problems without Having Desired Variational Symmetries

Author

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  • Mehdi Nadjafikhah
  • Saeed Dodangeh
  • Parastoo Kabi-Nejad

Abstract

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.

Suggested Citation

  • Mehdi Nadjafikhah & Saeed Dodangeh & Parastoo Kabi-Nejad, 2013. "On the Variational Problems without Having Desired Variational Symmetries," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, June.
    • Handle: RePEc:hin:jjmath:685212
    DOI: 10.1155/2013/685212
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    Cited by:

    1. Antonio Jesús Pan-Collantes & Concepción Muriel & Adrián Ruiz, 2023. "Integration of Differential Equations by C ∞ -Structures," Mathematics, MDPI, vol. 11(18), pages 1-23, September.

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