As is well known, submerged horizontal cylinders can serve as wavegorderes for surface water waves. For large values of the wavenumber in the direction of the cylinders, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies as in the case of one or two submerged cylinders by means of reducing the initial problem to a system of integral equations on the boundaries and then solving them using a technique suggested by Zhevandrov and Merzon (2003).
A. M. Marín. R. D. Ortíz. P. Zhevandrov. "Waves Trapped by Submerged Obstacles at High Frequencies." J. Appl. Math. 2007 1 - 17, 2007. https://doi.org/10.1155/2007/80205