Nonlinear dirac and diffusion equations in 1+1 dimensions from stochastic considerations
We generalize the method of obtaining fundamental linear partial differential equations such as the diffusion and Schrodinger equation, the Dirac, and the telegrapher's equation from a simple stochastic consideration to arrive at a certain nonlinear form of these equations. A group classification through a one-parameter group of transformations for two of these equations is also carried out.
Maharana
K
Physics Department, Utkal University, Bhubaneswar 751004, India.