N. Petersson

activity

20022007

collaborators

3 papers

math.PR2007

The integral of the supremum process of Brownian motion

Svante Janson, Niclas Petersson

In this paper we study the integral of the supremum process of standard Brownian motion. We present an explicit formula for the moments of the integral (or area) A(T), covered by t…

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…