Integrability Aspects and Soliton Solutions for a System Describing Ultrashort Pulse Propagation in an Inhomogeneous Multi-Component Medium

• Published in: Communications in theoretical physics 2010-09, Vol.54 (9), p.536-544
• Main Author: 郭睿 田播 吕兴 张海强 许韬
• Format: Article
• Language: English
• Subjects: Painlevé分析; 传输系统; 多组分; 孤子相互作用; 孤立子解; 超短脉冲; 非均匀; 非线性介质
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/54/3/31

For the propagation of the ultrashort pulses in an inhomogeneous multi-component nonlinear medium, a system of coupled equations is analytically studied in this paper. Painleve analysis shows that this system admits the Painleve property under some constraints. By means of the Ablowitz-Kaup-Newell-Segur procedure, the Lax pair of this system is derived, and the Darboux transformation （DT） is constructed with the help of the obtained Lax pair. With symbolic computation, the soliton solutions are obtained by virtue of the DT algorithm. Figures are plotted to illustrate the dynamical features of the soliton solutions. Characteristics of the solitons propagating in an inhomogeneous multi-component nonlinear medium are discussed： （i） Propagation of one soliton and two-peak soliton; （ii） Elastic interactions of the parabolic two solitons; （iii） Overlap two head-on solitons and two head-on two-peak solitons; （v） Two （vi） Decomposition phenomenon of one soliton into two solitons. phenomenon between two solitons; （iv） Collision of different types of interactions of the three solitons; ultrashort-pulse propagation in the inhomogeneous multi-component The results might be useful in the study on the nonlinear media.