Bright solitons for the coupled cubic-quintic non-linear Schrödinger equations

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• 作者：Xi-Yang Xie ; Bo Tian ; Ya Sun ; Lei Liu ; Yan Jiang
• 关键词：Coupled cubic ; quintic non ; linear Schrödinger equations ; Non ; Kerr medium ; Bright soliton solutions ; Soliton collision ; Symbolic computation
• 刊名：Optical and Quantum Electronics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：48
• 期：11
• 全文大小：1,813 KB
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X
• 卷排序：48

文摘

In this paper, we investigate the coupled cubic-quintic non-linear Schrödinger equations, which describe the effects of quintic non-linearity on the ultra-short optical-pulse propagation in the non-Kerr medium. Bi-linear forms, bright one- and two-soliton solutions are obtained with Hirota method and symbolic computation. Via the asymptotic analysis, we find that the bright two solitons keep their original amplitudes, widths and velocities invariant after each collision except for the phase shifts. By virtue of the graphical analysis, head-on and overtaking collisions between the bright two solitons are presented. Bound-state soliton can also be observed with the breather-like structures.