Abstract
We prove that the generalized Swift–Hohenberg equation with nonlinear right-hand side, a natural generalization of the Swift–Hohenberg equation arising in physics, chemistry and biology and describing inter alia pattern formation, has no nontrivial local conservation laws.
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Acknowledgements
I would like to thank my supervisor, Artur Sergyeyev, for the patient guidance, encouragement and advice he has provided.
Funding
The support from Specific Research Grant SGS/6/2017 of the Silesian University in Opava is gratefully acknowledged.
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Holba, P. Nonexistence of local conservation laws for generalized Swift–Hohenberg equation. J Math Chem 59, 1474–1478 (2021). https://doi.org/10.1007/s10910-021-01249-z
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DOI: https://doi.org/10.1007/s10910-021-01249-z