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Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times
- Publication Year :
- 2018
-
Abstract
- We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, near the continuous limit.We construct a family of solutions close to the continuous traveling waves and prove their stability over long times. Applying a modulation method, we also show that we can describe the dynamics near these discrete traveling waves over long times.
- Subjects :
- Mathematics - Numerical Analysis
Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1805.03578
- Document Type :
- Working Paper