N. Euler

activity

20002003

collaborators

4 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…

nlin.SI2000

n-Dimensional Bateman Equation and Painleve Analysis of Wave Equations

Norbert Euler, Ove Lindblom

In the Painleve analysis of nonintegrable partial differential equations one obtains differential constraints describing the movable singularity manifold. We show, for a class of n…