论文标题

在不均匀连贯耦合的非线性schrödinger模型的系统中,对载体孤子的操纵

Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities

论文作者

Mareeswaran, R. Babu, Sakkaravarthi, K., Kanna, T.

论文摘要

我们研究了具有时间调节的非线性且具有外部谐波振荡器电位的一般连贯耦合的非线性schrödinger(CCNL)系统中的非自主孤子。该通用CCNLS系统包含三种不同类型的CCNL方程,它们描述了不均匀的KERR样非线性光学介质中光束传播的动力学,用于由于该培养基各向异性的不同选择非线性极化的选择。我们确定了广义的相似性转换,将考虑的模型与标准的集成均匀耦合的非线性进化方程与恒定非线性相关联,并伴随着以riccati方程式表示的约束关系。借助非标准的Hirota双线化方法和精确的孤子解决方案,我们探索了通过反向工程分析的传播和碰撞的不同非线性和折射率的影响。有趣的是,我们表明了几种调制的孤子现象的出现,例如周期性振荡,放大,压缩,隧道/交叉,激子,及其在单soliton繁殖中的综合效果以及具有适当形式的非线性形式的两效碰撞。值得注意的是,我们确定了一种工具来改变孤子碰撞的性质,以某些类型的不均匀非线性。在非线性光学等上下文中,对非线性波的管理的研究可能引起了重大兴趣,并且也可以扩展到Bose-Einstein冷凝水和超流体。

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schrödinger (CCNLS) system with temporally modulated nonlinearities and with an external harmonic oscillator potential. This general CCNLS system encompasses three distinct types of CCNLS equations that describe the dynamics of beam propagation in an inhomogeneous Kerr-like nonlinear optical medium for different choices of nonlinear polarizations owing to the anisotropy of the medium. We identify a generalized similarity transformation to relate the considered model into the standard integrable homogeneous coupled nonlinear evolution equations with constant nonlinearities, accompanied by a constraint relation expressed in the form of the Riccati equation. With the help of a non-standard Hirota's bilinearization method and exact soliton solutions, we explore the impact of varying nonlinearities and refractive index in the propagation and collisions analytically by reverse engineering. Interestingly, we show the emergence of several modulated solitonic phenomena such as periodic oscillation, amplification, compression, tunneling/cross-over, excitons, as well as their combined effect in the single-soliton propagation and two-soliton collisions with appropriate forms of nonlinearity. Notably, we identify a tool to transform the nature of soliton collisions with certain type of inhomogeneous nonlinearities. The results could be of significant interest to the studies on management of nonlinear waves in the contexts like nonlinear optics and can also be extended to Bose-Einstein condensates and super-fluids.

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