Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves
Year: 2026
Type: preprint
Abstract: In this paper, we study the nonlinear modulational instability of two-dimensional hydroelastic Stokes waves in infinite depth. We first justify a focusing cubic nonlinear Schrödinger (NLS) approximation result for 2D deep hydroelastic wave system in the spirit of Ifrim-Tataru [22]. Then we exploit the instability mechanism of the cubic NLS to prove that the Stokes waves are nonlinearly unstable under long-wave perturbations.
Source: arXiv (Cornell University)
Authors: Wan, Lizhe, Yang, Jiaqi
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7146965952
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