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

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

2002-05-20

arxiv.org/abs/nlin/0205047v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages

Scientific paper

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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