Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrodinger equations
Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrodinger equations
复制标题
耦合PT对称非局部非线性薛定谔方程中孤子的碰撞动力学
DOI：
10.1016/j.cnsns.2017.04.011
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发表时间：
2017
影响因子：
3.9
通讯作者：
Ling Liming
中科院分区：
文献类型：
--
作者：
Vinayagam P. S.;Radha R.;Al Khawaja U.;Ling Liming
利用Darboux变换方法研究了聚焦耦合PT对称非局域非线性薛定谔方程.我们找到了一族精确解，除了孤波外，还包括了双明孤子、双暗孤子和双暗孤子。我们证明了在双孤子解中，通过选择性地微调振幅相关参数，可以将亮束缚态转化为暗束缚态。我们还表明，在每个模式中的能量保持守恒不同于著名的Manakov模型。我们还详细描述了孤子解的行为。我们强调，上述现象的发生是由于模型的非局部性。
We investigate the focussing coupled PT symmetric nonlocal nonlinear Schrödinger equation employing Darboux transformation approach. We find a family of exact solutions including pairs of Bright-Bright, Dark-Dark and Bright-Dark solitons in addition to solitary waves. We show that one can convert bright bound state onto a dark bound state in a two soliton solution by selectively finetuning the amplitude dependent parameter. We also show that the energy in each mode remains conserved unlike the celebrated Manakov model. We also characterize the behaviour of the soliton solutions in detail. We emphasize that the above phenomenon occurs due to the nonlocality of the model.