The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- SIAM J. Applied Dynamical Systems
دوره 14 شماره
صفحات -
تاریخ انتشار 2015