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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 6, Pages 185–193 (Mi mm4656)

Development of a second-order nonlinear model for describing sea waves

A. S. Zapevalov

Marine Hydrophysical Institute, Russian Academy of Sciences

Abstract: The description of nonlinear characteristics of sea surface waves by models based on the Stokes expansion is discussed. The limitations of existing models are noted, which do not allow describing the variety of wave forms present on the sea surface. The necessity of introducing an additional parameter is justified. A modified second-order nonlinear model is proposed that allows obtaining negative values of the skewness, which are observed in field experiments but are not described by existing models. The proposed model also allows to obtain horizontal asymmetry of waves.

Keywords: sea surface, distribution of surface elevations, skewness, second-order nonlinear model.

Received: 17.02.2025
Revised: 17.02.2025
Accepted: 09.06.2025

DOI: 10.20948/mm-2025-06-12



© Steklov Math. Inst. of RAS, 2026