摘要
We employ the Riemann-Hilbert(RH)method to study the Hirota equation with arbitrary order zero poles under zero boundary conditions.Through the spectral analysis,the asymptoticity,symmetry,and analysis of the Jost functions are obtained,which play a key role in constructing the RH problem.Then we successfully established the exact solution of the equation without reflection potential by solving the RH problem.Choosing some appropriate parameters of the resulting solutions,we further derive the soliton solutions with different order poles,including four cases of a fourthorder pole,two second-order poles,a third-order pole and a first-order pole,and four first-order points.Finally,the dynamical behavior of these solutions are analyzed via graphic analysis.
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
the Postgraduate Research&Practice Innovation Program of Jiangsu Province under Grant No.KYCX212152.
