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@article{49266,
author = {Opanasenko, Stanislav and Popovych, Roman},
article_location = {Melville (USA)},
article_number = {101515},
doi = {http://dx.doi.org/10.1063/5.0003304},
keywords = {Korteweg-De Vries equation; Classification; Operators; Systems; Fields; Euler},
language = {eng},
issn = {0022-2488},
journal = {Journal of Mathematical Physics},
title = {Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation},
url = {https://aip.scitation.org/doi/10.1063/5.0003304},
volume = {61},
year = {2020}
}
TY - JOUR
ID - 49266
AU - Opanasenko, Stanislav - Popovych, Roman
PY - 2020
TI - Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation
JF - Journal of Mathematical Physics
VL - 61
IS - 101515
SP - "101515-1"-"101515-13"
EP - "101515-1"-"101515-13"
PB - American Institute of Physics
SN - 00222488
KW - Korteweg-De Vries equation
KW - Classification
KW - Operators
KW - Systems
KW - Fields
KW - Euler
UR - https://aip.scitation.org/doi/10.1063/5.0003304
N2 - Using advantages of nonstandard computational techniques based on the light-cone variables, we explicitly find the algebra of generalized symmetries of the (1 + 1)-dimensional Klein-Gordon equation. This allows us to describe this algebra in terms of the universal enveloping algebra of the essential Lie invariance algebra of the Klein-Gordon equation. Then, we single out variational symmetries of the corresponding Lagrangian and compute the space of local conservation laws of this equation, which turns out to be generated, up to the action of generalized symmetries, by a single first-order conservation law. Moreover, for every conservation law, we find a conserved current of minimal order contained in this conservation law.
ER -
OPANASENKO, Stanislav and Roman POPOVYCH. Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation. \textit{Journal of Mathematical Physics}. Melville (USA): American Institute of Physics, 2020, vol.~61, No~101515, p.~''101515-1''-''101515-13'', 13 pp. ISSN~0022-2488. Available from: https://dx.doi.org/10.1063/5.0003304.
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