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

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

1997-10-28

arxiv.org/abs/physics/9710040v2

Phys.Rev.E62:1683,2000

Physics

Mathematical Physics

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

Scientific paper

10.1103/PhysRevE.62.1683

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.

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