Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations
Maharana, Karmadeva
arXiv, 9710040 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-10-28
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9710040,
     author = {Maharana, Karmadeva},
     title = {Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from
  stochastic considerations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710040}
}

Maharana, Karmadeva. Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from
  stochastic considerations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710040/