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

Published 29 Dec 2023 in math.AP, math-ph, and math.MP | (2312.17687v2)

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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