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In this work, inverse scattering transform for the sixth-order nonlinearSchr\"{o}dinger equation with both zero and nonzero boundary conditions atinfinity is given, respectively. For the case of zero nonzero boundaryconditions, in terms of the Laurent's series and generalization of the residuetheorem, the bound-state soliton is derived. For nonzero boundary conditions,using the robust inverse scattering transform, we present a matrixRiemann-Hilbert problem of the sixth-order nonlinear Schr\"{o}dinger equation.Then based on the obtained Riemann-Hilbert problem, the rogue wave and breatherwave solutions are derived through a modified Darboux transformation. Besides,according to some appropriate parameters choices, several graphical analysesare provided to discuss the dynamical behaviors of the bound-state soliton androgue wave solutions, and analyse how the higher-order terms affect thebound-state soliton and rogue wave.

Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schr\"{o}dinger equation via inverse scattering transform method