The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrodinger equation

We present the inverse scattering transform method to the six-order nonlinear Schrodinger equation on the line with zero boundary condition in the form of an appropriate Riemann-Hilbert problem. We solve the associated Riemann-Hilbert problem involving two cases of N simple poles and N multiple higher-order poles, which enables us to obtain the exact formulae of N-soliton and multiple-poles soliton solutions. Furthermore, the dynamic behaviors of various solitons are displayed.

Automated summary

The article discusses the application of the inverse scattering transform method to solving the six-order nonlinear Schrodinger equation with zero boundary condition. By solving the associated Riemann-Hilbert problem, exact formulas for N-soliton and multiple-poles soliton solutions are obtained, along with displaying the dynamic behaviors of various solitons.