Radhakrishnan R, Manikandan N, Aravinthan K
P. G. and Research Department of Physics, Jamal Mohamed College (Autonomous), Tiruchirappalli 620 020, Tamilnadu, India.
Mount Zion College of Engineering and Technology, Pudukkottai 622 507, Tamilnadu, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062913. doi: 10.1103/PhysRevE.92.062913. Epub 2015 Dec 14.
We find a dark component guiding the practically interesting bright-bright vector one-soliton to two different parametric domains giving rise to different physical situations by constructing a more general form of three-component dark-bright-bright mixed vector one-soliton solution of the generalized Manakov model with nine free real parameters. Moreover our main investigation of the collision dynamics of such mixed vector solitons by constructing the multisoliton solution of the generalized Manakov model with the help of Hirota technique reveals that the dark-bright-bright vector two-soliton supports energy-exchange collision dynamics. In particular the dark component preserves its initial form and the energy-exchange collision property of the bright-bright vector two-soliton solution of the Manakov model during collision. In addition the interactions between bound state dark-bright-bright vector solitons reveal oscillations in their amplitudes. A similar kind of breathing effect was also experimentally observed in the Bose-Einstein condensates. Some possible ways are theoretically suggested not only to control this breathing effect but also to manage the beating, bouncing, jumping, and attraction effects in the collision dynamics of dark-bright-bright vector solitons. The role of multiple free parameters in our solution is examined to define polarization vector, envelope speed, envelope width, envelope amplitude, grayness, and complex modulation of our solution. It is interesting to note that the polarization vector of our mixed vector one-soliton evolves in sphere or hyperboloid depending upon the initial parametric choices.
通过构建具有九个自由实参数的广义马纳科夫模型的更一般形式的三分量暗-亮-亮混合矢量单孤子解，我们发现一个暗分量将实际有趣的亮-亮矢量单孤子引导到两个不同的参数域，从而产生不同的物理情形。此外，我们借助广田技术构建广义马纳科夫模型的多孤子解，对这种混合矢量孤子的碰撞动力学进行的主要研究表明，暗-亮-亮矢量双孤子支持能量交换碰撞动力学。特别是在碰撞过程中，暗分量保持其初始形式以及马纳科夫模型亮-亮矢量双孤子解的能量交换碰撞特性。此外，束缚态暗-亮-亮矢量孤子之间的相互作用揭示了它们振幅的振荡。在玻色-爱因斯坦凝聚体中也通过实验观察到了类似的呼吸效应。从理论上提出了一些可能的方法，不仅可以控制这种呼吸效应，还可以控制暗-亮-亮矢量孤子碰撞动力学中的拍频、弹跳、跳跃和吸引效应。研究了我们解中多个自由参数的作用，以定义我们解的偏振矢量、包络速度、包络宽度、包络振幅、灰度和复调制。值得注意的是，我们的混合矢量单孤子的偏振矢量根据初始参数选择在球体或双曲面上演化。
