Symmetries, pseudosymmetries and conservation laws in Lagrangian and Hamiltonian k-symplectic formalisms
2016 ◽
Vol 13
(03)
◽
pp. 1650026
Keyword(s):
In this paper, we will present Lagrangian and Hamiltonian [Formula: see text]-symplectic formalisms, we will recall the notions of symmetry and conservation law and we will define the notion of pseudosymmetry as a natural extension of symmetry. Using symmetries and pseudosymmetries, without the help of a Noether type theorem, we will obtain new kinds of conservation laws for [Formula: see text]-symplectic Hamiltonian systems and [Formula: see text]-symplectic Lagrangian systems.
2020 ◽
Vol 17
(11)
◽
pp. 2050172
2012 ◽
Vol 22
(08)
◽
pp. 1250188
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2002 ◽
Vol 132
(6)
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pp. 1361-1371
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2018 ◽
Vol 149
(03)
◽
pp. 561-592
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2009 ◽
Vol 29
(5)
◽
pp. 1451-1478
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2019 ◽
Vol 22
(4)
◽
pp. 871-898
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Keyword(s):
2002 ◽
Vol 37
(2)
◽
pp. 197-211
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