论文标题
相对论的非线性非线性主要旋转器模型
Relativistic dissipatons in integrable nonlinear Majorana type spinor model
论文作者
论文摘要
通过移动框架的方法，引入了1+1维中的Majorana类型旋转磁场的相对论整合非线性模型，并在一个纸倍层上建立了该模型与Papanicolau Spin模型的规范等效性。就所谓的双数数字而言，该模型也被表示为双曲复合论模型，其形式类似于大型的横跨模型。通过使用Hirota双线方法，构建了该模型的一种耗散解决方案。我们计算了该消散的运动的第一个运动积分，并表明它代表具有高度非线性质量的相对论粒子。分析散射两个相对论消化子的共振条件，我们找到了一种描述耗散剂的共振特性的解决方案。
By method of moving frame, the relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions is introduced and gauge equivalence of this model with Papanicolau spin model on one sheet hyperboloid is established. In terms of the so called double numbers, the model is represented also as hyperbolic complex relativistic model, in the form similar to the massive Thirring model. By using Hirota bilinear method, one dissipaton solution of this model is constructed. We calculated first integrals of motion for this dissipaton and show that it represents relativistic particle with highly nonlinear mass. Analyzing resonance conditions for scattering of two relativistic dissipatons, we find a solution describing resonant property of the dissipatons.
