2017/12/06 by Bashingwa, J J H, Kara, A H
#35Q35 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #F.2.2 #FOS: Mathematics #FOS: Physical sciences
paper · doi:10.48550/arxiv.1712.02117
We determine, by hierarchy, dependencies between higher order linear symmetries which occur when generating them using recursion operators. Thus, we deduce a formula which gives the number of independent generalized symmetries (basis) of several orders. We construct a basis for conservation laws (with respect to the group admitted by the system of differential equation) and hence generate infinite conservation laws in each equivalence class.