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arXiv · 2312.17687

Resonant Solutions of the Non-linear Schroedinger Equation with Periodic Potential

A. Duaibes·Yu. Karpeshina
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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.

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A. Duaibes, Yu. Karpeshina. 2023-12-29. Resonant Solutions of the Non-linear Schroedinger Equation with Periodic Potential. https://arxiv.org/abs/2312.17687

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