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典型文献
Riemann-Hilbert approach and N double-pole solutions for a nonlinear Schr?dinger-type equation
文献摘要:
We investigate the inverse scattering transform for the Schr?dinger-type equation under zero boundary conditions with the Riemann-Hilbert(RH)approach.In the direct scattering process,the properties are given,such as Jost solutions,asymptotic behaviors,analyticity,the symmetries of the Jost solutions and the corresponding spectral matrix.In the inverse scattering process,the matrix RH problem is constructed for this integrable equation base on analyzing the spectral prob-lem.Then,the reconstruction formula of potential and trace formula are also derived correspondingly.Thus,N double-pole solutions of the nonlinear Schr?dinger-type equation are obtained by solving the RH problems corresponding to the re-flectionless cases.Furthermore,we present a single double-pole solution by taking some parameters,and it is analyzed in detail.
文献关键词:
作者姓名:
Guofei Zhang;Jingsong He;Yi Cheng
作者机构:
School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,China;Institute for Advanced Study,Shenzhen University,Shenzhen 518060,China
引用格式:
[1]Guofei Zhang;Jingsong He;Yi Cheng-.Riemann-Hilbert approach and N double-pole solutions for a nonlinear Schr?dinger-type equation)[J].中国物理B(英文版),2022(11):183-190
A类:
Jost,flectionless
B类:
Riemann,Hilbert,approach,double,pole,solutions,nonlinear,Schr,dinger,type,equation,We,investigate,inverse,scattering,transform,under,zero,boundary,conditions,RH,In,direct,process,properties,are,given,such,asymptotic,behaviors,analyticity,symmetries,spectral,matrix,constructed,this,integrable,base,analyzing,Then,reconstruction,formula,potential,trace,also,derived,correspondingly,Thus,obtained,by,solving,problems,cases,Furthermore,we,present,single,taking,some,parameters,analyzed,detail
AB值:
0.492302
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