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Angular traveling waves of the high‐dimensional Boussinesq equation.

Authors :
Esfahani, Amin
Source :
Studies in Applied Mathematics. Jul2024, Vol. 153 Issue 1, p1-32. 32p.
Publication Year :
2024

Abstract

This paper studies traveling waves with nonzero wave speed (angular traveling waves) of the high‐dimensional Boussinesq equation that have not been studied before. We analyze the properties of these waves and demonstrate that, unlike the unique stationary solution, they lack positivity, radial symmetry, and exponential decay. By employing variational and geometric approaches, along with perturbation theory, we establish the orbital (in)stability and strong instability of these traveling waves. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222526
Volume :
153
Issue :
1
Database :
Academic Search Index
Journal :
Studies in Applied Mathematics
Publication Type :
Academic Journal
Accession number :
178355311
Full Text :
https://doi.org/10.1111/sapm.12690