New rational and breather solutions of a higher-order integrable nonlinear Schrodinger equation

In this letter, we investigate the general rational solutions and breather solutions of a higher-order integrable nonlinear Schrodinger (NLS) equation based on Darboux transformation (DT). The rational solutions including W-shape traveling wave solution that is not reported and rogue wave solution are constructed. Time-periodic Kuznetsov-Ma breather, space-periodic Akhmediev breather and time-space periodic breather solutions are obtained. Besides, the interaction properties of two breather solutions are also displayed through numerical simulation. The results exhibit the new dynamical properties in extended nonlinear integrable physical models. (C) 2021 Published by Elsevier Ltd,

Automated summary

This letter investigates the general rational solutions and breather solutions of a higher-order integrable nonlinear Schrodinger equation based on Darboux transformation. New W-shape traveling wave solution, rogue wave solution, and various periodic breather solutions are constructed. The interaction properties of two breather solutions are displayed through numerical simulation, showing new dynamical properties in extended nonlinear integrable physical models.