BibTex format
@unpublished{Arnaudon:2015,
author = {Arnaudon, A},
title = {The stochastic integrable AKNS hierarchy},
url = {http://arxiv.org/abs/1511.07080v1},
year = {2015}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - We derive a stochastic AKNS hierarchy using geometrical methods. Theintegrability is shown via a stochastic zero curvature relation associated witha stochastic isospectral problem. We expose some of the stochastic integrablepartial differential equations which extend the stochastic KdV equationdiscovered by M. Wadati in 1983 for all the AKNS flows. We also show how tofind stochastic solitons from the stochastic evolution of the scattering dataof the stochastic IST. We finally expose some properties of these equations andalso briefly study a stochastic Camassa-Holm equation which reduces to astochastic Hamiltonian system of peakons.
AU - Arnaudon,A
PY - 2015///
TI - The stochastic integrable AKNS hierarchy
UR - http://arxiv.org/abs/1511.07080v1
UR - http://hdl.handle.net/10044/1/57056
ER -