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Linearizable Hierarchies of Evolution Equations in (1+1) Dimensions

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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.
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Document Type: Research Article

Publication date: October 1, 2003

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