Description of Nonlinear Phenomena in the Atmospheric Dynamics through Linear Wave type Equations
Abstract
The paper takles a procedure which allow to extend some linear, wave type equations to the study of nonlinear models. More concretely, we present a practical way to generate the largest class of a given form of second order differential equations in (1+1)-dimensions which generalizes the differential equation describing the equatorial trapped waves generated in a continuously stratified ocean. This class will be obtained following the Lie symmetry and similarity reduction procedures. As a result, some concrete nonlinear second order differential equations will be proposed as possible candidates for replacing more complicated, nonintegrable systems, as the Rossby type equation. Keywords: Nonlinear dynamical systems, Lie symmetries, Similarity reduction procedure, Rossby type symmetries.
Keywords
Cite
@article{arxiv.1112.0633,
title = {Description of Nonlinear Phenomena in the Atmospheric Dynamics through Linear Wave type Equations},
author = {Rodica Cimpoiasu and Radu Constantinescu},
journal= {arXiv preprint arXiv:1112.0633},
year = {2011}
}
Comments
Paper presented at International Balkan Workshop of Applied Physics (IBWAP), Constanta (Romania), 2010