Continuum limit of discrete Sommerfeld problems on square lattice
نویسندگان
چکیده
منابع مشابه
On the Continuum Limit for Discrete NLS with Long- Range Lattice Interactions
We consider a general class of discrete nonlinear Schrödinger equations (DNLS) on the lattice hZ with mesh size h > 0. In the continuum limit when h → 0, we prove that the limiting dynamics are given by a nonlinear Schrödinger equation (NLS) on R with the fractional Laplacian (− ) as dispersive symbol. In particular, we obtain that fractional powers 1 2 < α < 1 arise from long-range lattice int...
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ژورنال
عنوان ژورنال: Sādhanā
سال: 2017
ISSN: 0256-2499,0973-7677
DOI: 10.1007/s12046-017-0636-6