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Considered in this report is the one-dimensional fourth-order dispersivecubic nonlinear Schr\"odinger equation with mixed dispersion. Orbitalstability, in the energy space, of a particular standing-wave solution isproved in the context of Hamiltonian systems. The main result is established byconstructing a suitable Lyapunov function.

The Fourth-order dispersive nonlinear Schr\"odinger equation: orbital stability of a standing wave