id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1362	Palese, M.; Winterroth, E.	Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System	2011	5	.pdf	application/pdf	3623	189	69	We observe that by the homomorphismX4 = X5 = 0 and X8 = νX3 we get a closed Lie algebra (which is different from the Lie algebra corresponding to the Euclidean group in the plane obtained above): It is easy to verify that on every integral submanifold defined by u = u(x, y, z), p = ux, q = uy, r = uz, with dx ∧ dy ∧ dz �= 0, the above ideal is equivalent to the Toda system under study.	cache/ap-1362.pdf	txt/ap-1362.txt