科研之友
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摘要
We apply Lie and non-classical symmetry methods to partial differential equations in order to derive solutions of the non-linear Dirac equation corresponding to the Gross-Neveu model in d = (1 + 1) and d = (2 + 1) space-time dimensions. For each d, we first identify sub-algebras of the Poincare-Lie algebra and for each such sub-algebra, we calculate the invariant solution. Non-classical symmetries are also determined and used to derive new solutions for the Gross-Neveu model.
- 出版日期2015-9
