Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrodinger equation with zero/nonzero boundary conditions  

作　　者：Jin-Jin Mao Shou-Fu Tian Tian-Zhou Xu Lin-Fei Shi 

机构地区：[1]School of Mathematics and Statistics,Beijing Institute of Technology,Beijing 100081,China [2]School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China

出　　处：《Communications in Theoretical Physics》2022年第8期56-68,共13页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.11975306;the Natural Science Foundation of Jiangsu Province under Grant No.BK20181351;the Six Talent Peaks Project in Jiangsu Province under Grant No.JY-059;the Fundamental Research Fund for the Central Universities under the Grant Nos.2019ZDPY07 and 2019QNA35。

摘　　要：The present work studies the inverse scattering transforms(IST)of the inhomogeneous fifth-order nonlinear Schrodinger(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.

关 键 词：the inhomogeneous fifth-order nonlinear Schrodinger equation inverse scattering transforms Darboux transformation bound-state soliton rogue wave zero/nonzero boundary conditions 

分 类 号：O411.1[理学—理论物理]