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On the redefinition of the variational and ‘partial’ variational conservation laws in a class of nonlinear PDEs with mixed derivatives. (English) Zbl 1272.76185
This paper is concerned with symmetry generators and conservation laws for some higher-order PDEs with mixed derivatives. The properties displayed by the resultant conserved quantities are highlighted for certain fluid flows.

MSC:
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
76M30 Variational methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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