The Fourth-order dispersive nonlinear Schr\"odinger equation: orbital stability of a standing wave
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🧮 math.AP
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dispersiveequationfourth-ordernonlinearodingerorbitalschrstability
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Considered in this report is the one-dimensional fourth-order dispersive cubic nonlinear Schr\"odinger 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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