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Linearisable hierarchy of evolution equations in (1+1) dimensions

Marianna Euler·Norbert Euler·Niclas Petersson
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Abstract

In our article "A tree of linearisable second-order evolution equations by generalised hodograph transformations" [J. Nonlin. Math. Phys. {\bf 8} (2001), 342-362] we presented a tree of linearisable (C-integrable) second-order evolution equations in (1+1) dimensions. Expanding this result we report here the complete set of recursion operators for this tree and present several linearisable (C-integrable) hierarchies in (1+1) dimensions.

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Marianna Euler, Norbert Euler, Niclas Petersson. 2002-09-22. Linearisable hierarchy of evolution equations in (1+1) dimensions. https://arxiv.org/abs/nlin/0205047

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