The Fourth-Order Nonlinear Schrödinger Equation and Stability Analysis for Stokes Waves on Slowly Varying Topography

The Fourth-Order Nonlinear Schrödinger Equation and Stability Analysis for Stokes Waves on Slowly Varying Topography

The surface gravity wave equation is expanded to the fourth-order wave steepness on slowly varying topography, obtaining a topographic modified nonlinear Schrödinger (TMNLS) equation. When the time scale is longer than ε-3 times of the dominant wave period or the space scale is larger than ε-3 times...

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Bibliographic Details
Main Authors: Xufeng Zhang, Yifeng Zhang, Ruijie Li
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-06-01
Series:Frontiers in Marine Science
Subjects:
TMNLS
varying topography
instability analysis
nonlinear Schrödinger equation (NLS)
narrow bandrange wave packet
Online Access:https://www.frontiersin.org/articles/10.3389/fmars.2022.928096/full

Internet

https://www.frontiersin.org/articles/10.3389/fmars.2022.928096/full

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