Angular traveling waves of the high-dimensional Boussinesq equation
Esfahani A.
July 2024John Wiley and Sons Inc
Studies in Applied Mathematics
2024#153Issue 1
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.
high-dimensional Boussinesq equation , orbital stability , strong instability , traveling wave
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Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics
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