Spatiotemporal solitons on cnoidal wave backgrounds in three media with different distributed transverse diffraction and dispersion

Spatiotemporal solitons on cnoidal wave backgrounds in three media with different distributed transverse diffraction and dispersion
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具有不同横向衍射和色散分布的三种介质中椭圆形波背景上的时空孤子

DOI:
10.1007/s11071-014-1236-1
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发表时间:
2014-01
期刊:
影响因子:
5.6
通讯作者:
Zhu Hai-Ping
Zhu Hai-Ping
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhu Hai-Ping

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基于相似变换,研究了具有不同分布的横向折射率和色散的(3+1)维非线性Schrödin-.ger方程,得到了椭圆波背景下的精确亮孤子解。此外,还讨论了这些孤子解在三种不同色散/绕射衰减介质中的动力学行为。研究了CNW的孤子相互作用with.cnwsand/orthechangeofcharacteristicsofsolitonsby.an加成反应。三种介质的比较结果表明,对于相同的参数,高斯分布中的亮孤子得到了最大程度的压缩。这些结果对今后在光通信、长途电信网、玻色-爱因斯坦凝聚等方面的实验具有潜在的参考价值。
The (3+1)-dimensional nonlinear Schrödin-.ger equation with different distributed transverse dif-.fraction and dispersion is studied based on the similar-.ity transformation, and exact bright soliton solution on.cnoidal wave backgrounds is derived. Moreover, three.kinds of dynamical behaviors of these soliton solu-.tions in three different dispersion/diffraction decreas-.ing media with the Gaussian, hyperbolic, and Loga-.rithmic profiles are discussed. Solitons interact with.cnwsand/orthechangeofcharacteristicsofsolitonsby.an addition of cnws are studied. Result of comparison.with three media indicates that for the same parame-.ters, the bright soliton in the Gaussian profile is com-.pressed to the utmost degree. These results are poten-.tially useful for future experiments in the optical com-.munications, long-haul telecommunication networks,.and Bose–Einstein condensations.
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