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 $⟨\mathrm{\nabla },D(x)\mathrm{\nabla }⟩$ (the spatial part of the wave operator) corresponding to the eigenvalue $\omega \to \mathrm{\infty }$ in a nearly integrable case.