Abstract We study the dynamics of Bose-Einstein condensate coupled to a waveguide with parity-time symmetric potential in the presence of quadratic-cubic nonlinearity modelled by Gross-Pitaevskii equation with external source. We employ the self-similar technique to obtain matter wave solutions, such as bright, kink-type, rational dark and Lorentzian-type self-similar waves for this model. The dynamical behavior of self-similar matter waves can be controlled through variation of trapping potential, external source and nature of nonlinearities present in the system.

中文翻译：

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PT对称波导中可控的自相似物质波

摘要 我们研究了在存在由 Gross-Pitaevskii 方程和外部源建模的二次三次非线性情况下耦合到具有奇偶时间对称势的波导的 Bose-Einstein 凝聚的动力学。我们采用自相似技术获得物质波解，例如该模型的亮波、扭结型、有理暗波和洛伦兹型自相似波。自相似物质波的动力学行为可以通过系统中存在的俘获势、外部源和非线性性质的变化来控制。