High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case

This paper is a continuation of research started in [7] devoted to explicit asymptotic formulas for standing coastal-trapped waves. Our main goal is to construct formal asymptotic eigenfunctions of the wave operator ⟨∇, D(x)∇⟩ (the spatial part of the wave operator) corresponding to the eigenvalue ω→∞ in a nearly integrable case.