Moving-Frame Approach to Nonlinear Internal Waves in Oceans
Xiaoping Xu
TL;DR
This paper introduces a moving-frame method to solve the complex equations governing nonlinear internal waves in oceans, providing a family of exact solutions with multiple parameters.
Contribution
It presents a novel moving-frame approach that yields explicit exact solutions for nonlinear internal waves in stratified rotational oceanic fluids.
Findings
Derived a family of exact solutions with ten arbitrary parameters.
Enhanced understanding of wave dynamics in stratified oceanic environments.
Provided a new analytical tool for studying nonlinear internal waves.
Abstract
In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.
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Taxonomy
TopicsNavier-Stokes equation solutions · Oceanographic and Atmospheric Processes · Geophysics and Gravity Measurements