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Linearizable Hierarchies of Evolution Equations in (1+1) Dimensions
Authors:M  Euler  N  Euler  and N  Petersson
Institution:LuleåUniversity of Technology
Abstract:In our article 1 ], "A tree of linearisable second-order evolution equations by generalised hodograph transformations " we present a class of linearizable ( C -integrable) second-order evolution equations in (1+1) dimensions, using a generalized hodograph transformation. We report here the complete set of recursion operators for this class and present the resulting linearizable ( C -integrable) hierarchies in (1+1) dimensions. The autonomous class of linearizable hierarchies are extended further by considering the equations in potential form followed by the pure hodograph transformation.
Keywords:
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