Forced KdV Equation for Tsunamis Generation: How to Choose the External Forces and Corresponding Solutions

Authors

  • Bogning, Jean Roger Department of Physics, Higher Teacher Training College, University of Bamenda, PO Box 39, Bamenda, Cameroon and African optical fiber family, Po. Box 2042, Campost Kamkop, Bafoussam, Cameroon

DOI:

https://doi.org/10.63002/asrp.25.443

Keywords:

KdV equation, tsunamis, solitary wave, solutions, external forces

Abstract

The artificial triggering of tsunamis is increasingly modeled by the forced Korteveg de Vries( KdV) equation. But beyond this modeling, the biggest problem is knowing how to choose the excitations or external forces so that the solutions obtained are exact. In this article, we show how to choose the external force in the forced KdV equation. We also show that all the exact solutions obtained depend closely on the external force. Beyond all these demonstrations, we offer some solutions as well as their profiles.

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Published

26-05-2024