Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
We generalize the method of obtaining the fundamental linear partial differential equations such as the diffusion and Schrodinger equation, Dirac and telegrapher's equation from a simple stochastic consideration to arrive at certain nonlinear form of these equations. The group classification through one parameter group of transformation for two of these equations is also carried out.
Cite
@article{arxiv.physics/9710040,
title = {Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations},
author = {Karmadeva Maharana},
journal= {arXiv preprint arXiv:physics/9710040},
year = {2008}
}
Comments
18 pages, Latex file, some equations corrected and group analysis in one more case added