Dynamics of strongly nonlinear internal solitary waves in shallow water

Tae Chang Jo, Wooyoung Choi

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We study the dynamics of large amplitude internal solitary waves in shallow water by using a strongly nonlinear long-wave model. We investigate higher order nonlinear effects on the evolution of solitary waves by comparing our numerical solutions of the model with weakly nonlinear solutions. We carry out the local stability analysis of solitary wave solution of the model and identify an instability mechanism of the Kelvin-Helmholtz type. With parameters in the stable range, we simulate the interaction of two solitary waves: both head-on and overtaking collisions. We also study the deformation of a solitary wave propagating over non-uniform topography and describe the process of disintegration in detail. Our numerical solutions unveil new dynamical behaviors of large amplitude internal solitary waves, to which any weakly nonlinear model is inapplicable.

Original languageEnglish (US)
Pages (from-to)205-227
Number of pages23
JournalStudies in Applied Mathematics
Volume109
Issue number3
DOIs
StatePublished - Oct 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Dynamics of strongly nonlinear internal solitary waves in shallow water'. Together they form a unique fingerprint.

Cite this