Abstract
In this work, we study the dynamic properties of the transformed nonlinear waves of the six-order nonlinear Schrödinger equation. The breather wave of the equation is obtained based on the Darboux transformation. In order to study the state transition, we give the transition conditions of the breather wave. Based on this transition condition, the breather wave is transformed into various types of nonlinear waves, including W-shaped solitons, M-shaped solitons, multi-peak solitons, oscillation solitons, etc. Furthermore, the oscillation properties of these transformed nonlinear waves are analyzed. Finally, these transformed nonlinear waves are graphically presented.
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