24 citations · 49 across the 18 of their papers we have counts for
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nlin.SI2002
Linearisable hierarchy of evolution equations in (1+1) dimensions
Marianna Euler, Norbert Euler, Niclas Petersson
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 tr…
nlin.SI2002★ 24 cited
Linearisable third order ordinary differential equations and generalised Sundman transformations
N. Euler, T. Wolf, P. G. L. Leach +1
We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised in X'''(T)=0 under the transformation X(T)=F(x,t), dT…
nlin.SI2002★ 19 cited
A tree of linearisable second-order evolution equations by generalised hodograph transformations
Norbert Euler, Marianna Euler
We present a list of (1+1)-dimensional second-order evolution equations all connected via a proposed generalised hodograph transformation, resulting in a tree of equations transfor…