典型文献
Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schr?dinger equation with zero/nonzero boundary conditions
文献摘要:
The present work studies the inverse scattering transforms(IST)of the inhomogeneous fifth-order nonlinear Schr?dinger(NLS)equation with zero boundary conditions(ZBCs)and nonzero boundary conditions(NZBCs).Firstly,the bound-state solitons of the inhomogeneous fifth-order NLS equation with ZBCs are derived by the residue theorem and the Laurent's series for the first time.Then,by combining with the robust IST,the Riemann-Hilbert(RH)problem of the inhomogeneous fifth-order NLS equation with NZBCs is revealed.Furthermore,based on the resulting RH problem,some new rogue wave solutions of the inhomogeneous fifth-order NLS equation are found by the Darboux transformation.Finally,some corresponding graphs are given by selecting appropriate parameters to further analyze the unreported dynamic characteristics of the corresponding solutions.
文献关键词:
中图分类号:
作者姓名:
Jin-Jin Mao;Shou-Fu Tian;Tian-Zhou Xu;Lin-Fei Shi
作者机构:
School of Mathematics and Statistics,Beijing Institute of Technology,Beijing 100081,China;School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China
文献出处:
引用格式:
[1]Jin-Jin Mao;Shou-Fu Tian;Tian-Zhou Xu;Lin-Fei Shi-.Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schr?dinger equation with zero/nonzero boundary conditions)[J].理论物理,2022(08):56-68
A类:
ZBCs,NZBCs
B类:
Inverse,scattering,transforms,inhomogeneous,fifth,order,nonlinear,Schr,dinger,equation,nonzero,boundary,conditions,present,work,studies,inverse,IST,NLS,Firstly,state,solitons,are,derived,by,residue,theorem,Laurent,series,first,Then,combining,robust,Riemann,Hilbert,RH,problem,revealed,Furthermore,resulting,some,new,rogue,wave,solutions,found,Darboux,transformation,Finally,corresponding,graphs,given,selecting,appropriate,parameters,further,analyze,unreported,dynamic,characteristics
AB值:
0.470555
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