The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave

In this paper we consider the one-dimensional fourth-order dispersive cubic nonlinear Schrodinger equation with mixed dispersion. Orbital stability, in the energy space, of a particular standing-wave solution is proved in the context of Hamiltonian systems. The main result is established by constructing a suitable Lyapunov function.

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