Experimental study for the breaking properties of internal solitary waves flowing over a bottom step

Zou, Li; Zhang, Jiuming; Sun, Tiezhi; Ma, Xinyu; Yu, Zongbing

doi:10.1016/j.apor.2020.102150

Cited by 10 publications

(1 citation statement)

References 37 publications

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“…The characteristic wavelength of internal solitary waves ranges from several hundred meters to several thousand kilometers and contain huge energy. Due to its enormous energy and induced strong shear flow, Internal solitary waves may be a severe threat to marine engineering structures, such as platforms and marine risers [1,2]. Therefore, the study of internal solitary waves is of great significance.…”

Section: Introductionmentioning

confidence: 99%

Bäcklund transformation, infinite number of conservation laws and fission properties of an integro-differential model for ocean internal solitary waves

Yu¹,

Zhang²,

Dong³

et al. 2021

Commun. Theor. Phys.

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This paper presents an analytical investigation of the propagation of internal solitary waves in the ocean of finite depth. Using the multi-scale analysis and reduced perturbation methods, the integro-differential equation is derived, which is called the intermediate long wave (ILW) equation and can describe the amplitude of internal solitary waves. It can reduce to the Benjamin–Ono equation in the deep-water limit, and to the KdV equation in the shallow-water limit. Little attention has been paid to the features of integro-differential equations, especially for their conservation laws. Here, based on Hirota bilinear method, Bäcklund transformations in bilinear form of ILW equation are derived and infinite number of conservation laws are given. Finally, we analyze the fission phenomenon of internal solitary waves theoretically and verify it through numerical simulation. All of these have potential value for the further research on ocean internal solitary waves.

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Section: Introductionmentioning

confidence: 99%