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Zbl 1126.70014
Sławianowski, Jan Jerzy
Geometrically implied nonlinearities in mechanics and field theory. (English)
[A] Mladenov, Iva\"ilo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9--14, 2006. Sofia: Bulgarian Academy of Sciences. 48-118 (2007). ISBN 978-954-8495-37-0/pbk

The concept of essential nonlinearity is addressed, where the nonlinear system is not decomposable into a linear one plus a small nonlinear correction. The relationship of essential nonlinearity to large symmetry groups is investigated.
[Mohammad Khorrami (Tehran)]
MSC 2000:
*70S10 Symmetries and conservation laws
70H33 Symmetries

Keywords: essential nonlinearity; symmetry groups

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