Geodesic
Basis of differential invariants of symmetry group of Green--Naghdi equations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 52-62

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System of Green–Naghdi equations describing long wave propagation on fluid surface is considered. Extensions of operator of Lie algebra of these equations, the differential invariants and the operators of invariant differentiation are calculated. The theorem about the basis of the differential invariants ie proved. In addition, the dependence between the differential invariants is described.
Keywords: Green–Naghdi equation, differential invariants, operators of invariant differentiation, basis of differential invariants. 
@article{VUU_2009_2_a5,
     author = {N. V. Lyubashevskaya and A. P. Chupakhin},
     title = {Basis of differential invariants of symmetry group of {Green--Naghdi} equations},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {52--62},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_2_a5/}
}
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N. V. Lyubashevskaya; A. P. Chupakhin. Basis of differential invariants of symmetry group of Green--Naghdi equations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 52-62. http://geodesic.mathdoc.fr/item/VUU_2009_2_a5/