Nonlinear dirac and diffusion equations in 1+1 dimensions from stochastic considerations
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
دوره 62 2 Pt A شماره
صفحات -
تاریخ انتشار 2000