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 (−Δ)[superscript α...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer-Verlag,
2013-09-20T14:17:13Z.
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| Subjects: | |
| Online Access: | Get fulltext |