Modulational instability for nonlinear Schrödinger equations with a periodic potential
نویسندگان
چکیده
منابع مشابه
Modulational Instability for Nonlinear Schrödinger Equations with a Periodic Potential
We study the stability properties of periodic solutions to the Nonlinear Schrödinger (NLS) equation with a periodic potential. We exploit the symmetries of the problem, in particular the Hamiltonian structure and the U(1) symmetry. We develop a simple sufficient criterion that guarantees the existence of a modulational instability spectrum along the imaginary axis. In the case of small amplitud...
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ژورنال
عنوان ژورنال: Dynamics of Partial Differential Equations
سال: 2005
ISSN: 1548-159X,2163-7873
DOI: 10.4310/dpde.2005.v2.n4.a3