Resonant Solutions of the Non-linear Schroedinger Equation with Periodic Potential
Analysis of PDEs
2024-01-18 v2 Mathematical Physics
math.MP
Abstract
The goal is a construction of stationary solutions close to a non-trivial combination of two plane waves at high energies for a periodic non-linear Schroedinger equation in dimension two. The corresponding isoenergetic surfaces are described for every sufficiently large energy.
Keywords
Cite
@article{arxiv.2312.17687,
title = {Resonant Solutions of the Non-linear Schroedinger Equation with Periodic Potential},
author = {A. Duaibes and Yu. Karpeshina},
journal= {arXiv preprint arXiv:2312.17687},
year = {2024}
}