The Instability of Deep-water Sideband Perturbation Wave Trains

• Published in: Journal of coastal research Vol. 97; no. sp1; pp. 10 - 14
• Main Authors: Zhang, Yifeng, Zhang, Chenfeng, Li, Chunhui, Yuan, Chunguang, Pan, Xishan, Shi, Ling
• Format: Journal Article
• Language: English
• Published: Coastal Education and Research Foundation 01.12.2019; Allen Press Publishing
• Subjects: bandwidth factor; instability; Schrödinger equation; wave steepness
• ISSN: 0749-0208; 1551-5036
• DOI: 10.2112/SI97-002.1

Zhang, Y.; Zhang, C.; Li, C.; Yuan, C.; Pan, X., and Shi, L., 2019. The instability of deep-water sideband perturbation wave trains. In: Hoang, A.T. and Aqeel Ashraf, M. (eds.), Research, Monitoring, and Engineering of Coastal, Port, and Marine Systems. Journal of Coastal Research, Special Issue No. 97, pp. 10–14. The deep-water sideband perturbation wave trains are unstable. The instability is important to study the deep-water wave trains propagation. The relation of the factors such as wave steepness and frequency are studied in the paper. A parameter on the wave steepness, the band width and the frequency are obtained by the instability analysis based on the BMNLS equation. The representativeness of parameters is analyzed by numerical simulation. During the deep-water sideband perturbation wave trains propagation, it is unstable when the parameter is greater than 1. The instability and nonlinearity effect are more obviously with the increase of the parameter. At the same time, the evolution of sideband perturbation wave trains instability under the influence of bandwidth factor and wave steepness respectively is studied by numerical simulation.