Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations

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.

18 pages, Latex file, some equations corrected and group analysis in one more case added

Cited by in corpus (2)

• Informal Resource Letter - Nonlinear quantum mechanics on arXiv up to August 2004
• Symmetries of the near horizon of a Black Hole by Group Theoretic methods