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  • On the classification of scalar evolution equations with non-constant separant 

    Authors:Bilge, Ayşe Hümeyra; Mizrahi, Eti
    Publisher and Date:(IOP Publishing Ltd, 2017)
    The ` separant' of the evolution equation u(t) = F where F is some differentiable function of the derivatives of u up to order m is the partial derivative partial derivative F/partial derivative u(m) where um u(m) = partial derivative(m)u/partial derivative x(m). As an integrability test we use the formal symmetry method of Mikhailov-Shabat-Sokolov which is based on the existence of a recursion operator as a formal series. The solvability of its coefficients in the class of local functions gives ...