Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations
数学物理
2008-11-26 v2 高能物理 - 理论
math.MP
摘要
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.
引用
@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}
}
备注
18 pages, Latex file, some equations corrected and group analysis in one more case added