摘要
We construct matrix integrable fourth-order nonlinear Schrödinger equations through reducing the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems.Based on properties of eigenvalue and adjoint eigenvalue problems,we solve the corresponding reflectionless Riemann-Hilbert problems,where eigenvalues could equal adjoint eigenvalues,and formulate their soliton solutions via those reflectionless Riemann-Hilbert problems.Soliton solutions are computed for three illustrative examples of scalar and two-component integrable fourth-order nonlinear Schrödinger equations.
作者
Wen-Xiu Ma
马文秀(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia;Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA;School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa)
基金
supported in part by the National Natural Science Foundation of China(Grant Nos.12271488,11975145,11972291,and 51771083)
the Ministry of Science and Technology of China(Grant No.G2021016032L)
the Natural Science Foundation for Colleges and Universities in Jiangsu Province(Grant No.17 KJB 110020).
