Nonexistence of Supersonic Traveling Waves for Nonlinear Schrödinger Equations with Nonzero Conditions at Infinity
نویسنده
چکیده
For a large class of nonlinear Schrödinger equations with nonzero conditions at infinity and for any speed c less than the sound velocity, we prove the existence of finite energy traveling waves moving with speed c in any space dimension N ≥ 3. Our results are valid as well for the Gross-Pitaevskii equation and for NLS with cubic-quintic nonlinearity. AMS subject classifications. 35Q51, 35Q55, 35Q40, 35J20, 35J15, 35B65, 37K40.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 40 شماره
صفحات -
تاریخ انتشار 2008