Solution for a non linear Schr\"odinger equation via Hopf-Cole transformation
Classical Analysis and ODEs
2012-06-12 v2 Mathematical Physics
math.MP
Abstract
In this short letter we show that the one dimensional non linear Schr\"odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.
Cite
@article{arxiv.1009.0187,
title = {Solution for a non linear Schr\"odinger equation via Hopf-Cole transformation},
author = {H. R. Rezazadeh and Tirdad Soulati},
journal= {arXiv preprint arXiv:1009.0187},
year = {2012}
}
Comments
4 pages,One co author added, revised version