Musammil N M, Porsezian K, Subha P A, Nithyanandan K
Department of Physics, Calicut University, Malappuram, Kerala 673635, India.
Department of Physics, Farook College, Calicut University, Kerala 673632, India.
Chaos. 2017 Feb;27(2):023113. doi: 10.1063/1.4976514.
We investigate the dynamics of vector dark solitons propagation using variable coefficient coupled nonlinear Schrödinger (Vc-CNLS) equation. The dark soliton propagation and evolution dynamics in the inhomogeneous system are studied analytically by employing the Hirota bilinear method. It is apparent from our asymptotic analysis that the collision between the dark solitons is elastic in nature. The various inhomogeneous effects on the evolution and interaction between dark solitons are explored, with a particular emphasis on nonlinear tunneling. It is found that the tunneling of the soliton depends on a condition related to the height of the barrier and the amplitude of the soliton. The intensity of the tunneling soliton either forms a peak or a valley, thus retaining its shape after tunneling. For the case of exponential background, the soliton tends to compress after tunneling through the barrier/well. Thus, a comprehensive study of dark soliton pulse evolution and propagation dynamics in Vc-CNLS equation is presented in the paper.
我们使用变系数耦合非线性薛定谔（Vc-CNLS）方程研究矢量暗孤子的传播动力学。通过采用广田双线性方法，对非均匀系统中暗孤子的传播和演化动力学进行了分析研究。从我们的渐近分析中可以明显看出，暗孤子之间的碰撞本质上是弹性的。探索了各种非均匀效应对暗孤子演化和相互作用的影响，特别强调了非线性隧穿。发现孤子的隧穿取决于与势垒高度和孤子振幅相关的条件。隧穿孤子的强度要么形成一个峰值要么形成一个谷值，因此在隧穿后保持其形状。对于指数背景的情况，孤子在隧穿势垒/势阱后趋于压缩。因此，本文对Vc-CNLS方程中暗孤子脉冲的演化和传播动力学进行了全面研究。
