M. Euler

collaborators

3 papers

nlin.SI2003

Recursion operators for a class of integrable third-order evolution equations

Niclas Petersson, Norbert Euler, Marianna Euler

We consider $u_{t} = u^{α} u_{xxx} + n (u) u_{x} u_{xx} + m (u) u_{x}^{3} + r (u) u_{xx} + p (u) u_{x}^{2} + q (u) u_{x} + s (u)$ with $α = 0$ and $α = 3$ , for those functional forms of $m, n, p, q, r, s$ for which the equ…

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

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…