典型文献
Multi-bright-dark soliton solutions to the AB system in nonlinear optics
文献摘要：
The AB system is the basic integrable model to describe unstable baroclinic wave packets in geophysical fluids and the propagation of mesoscale gravity flows in nonlinear optics.On the basis of the spectral analysis of a Lax pair and the inverse scattering method,we establish the Riemann-Hilbert problem of the AB system.Then,the inverse problems are formulated and solved with the aid of the Riemann-Hilbert problem,from which the potentials can be reconstructed according to the asymptotic expansion of the sectional analytic function and the related symmetry relations.As an application,we obtain the multi-bright-dark soliton solutions to the AB system in the reflectionless case and discuss the dynamic behavior of elastic soliton collisions by choosing appropriate free parameters.
文献关键词：
中图分类号：
作者姓名：
Yunyun Zhai;Lifei Wei;Xianguo Geng;Jiao Wei
作者机构：
School of Mathematics and Statistics,Zhengzhou University,100 Kexue Road,Zhengzhou,Henan 450001,China
文献出处：
引用格式：
[1]Yunyun Zhai;Lifei Wei;Xianguo Geng;Jiao Wei-.Multi-bright-dark soliton solutions to the AB system in nonlinear optics)[J].理论物理,2022(04):23-30
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B类：
Multi,bright,dark,soliton,solutions,AB,system,nonlinear,optics,basic,integrable,model,describe,unstable,baroclinic,wave,packets,geophysical,fluids,propagation,mesoscale,gravity,flows,On,basis,spectral,analysis,Lax,pair,inverse,scattering,method,we,establish,Riemann,Hilbert,Then,problems,are,formulated,solved,aid,from,which,potentials,can,reconstructed,according,asymptotic,expansion,sectional,analytic,function,related,symmetry,relations,application,obtain,multi,reflectionless,case,discuss,dynamic,behavior,elastic,collisions,by,choosing,appropriate,free,parameters
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0.648728
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