Exact Pollard-like internal water waves. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Kluczek, Mateusz
• Is Part Of: Journal of nonlinear mathematical physics. Volume 26:Issue 1(2019)
• Page Start: 133
• Page End: 146
• Publication Date: 2019-01-02
• Subjects: Exact and explicit solution -- geophysical -- internal water waves; 74G05 -- 76B15 -- 86A05; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2019.1544794
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : In this paper we construct a new solution which represents Pollard-like three-dimensional nonlinear geophysical internal water waves. The Pollard-like solution includes the effects of the rotation of Earth and describes the internal water wave which exists at all latitudes across Earth and propagates above the thermocline. The solution is provided in Lagrangian coordinates. In the process we derive the appropriate dispersion relation for the internal water waves in a stable stratification and discuss the particles paths. An analysis of the dispersion relation for the constructed model identifies one mode of the internal water waves.