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arXiv · 1506.00023

The Fourth-order dispersive nonlinear Schrödinger equation: orbital stability of a standing wave

Fábio Natali·Ademir Pastor
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Abstract

Considered in this report is the one-dimensional fourth-order dispersive cubic nonlinear Schrödinger 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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Fábio Natali, Ademir Pastor. 2015-05-29. The Fourth-order dispersive nonlinear Schrödinger equation: orbital stability of a standing wave. https://arxiv.org/abs/1506.00023

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