Trapped depression solitary waves for the forced fifth-order forced Korteweg-de Vries equation

Autores

  • Marcelo V. Flamarion UACSA/UFRPE
  • Roberto Ribeiro UFPR

DOI:

https://doi.org/10.5540/03.2022.009.01.0313

Palavras-chave:

Gravity-capillary waves, Solitary waves, Trapped waves

Resumo

In this work, we investigate numerically trapped depression solitary waves in gravity-capillary flows for the fifth-order forced Korteweg-de Vries equation. We compute depression solitary waves with a single local minimum and three local minima that remain trapped bouncing back and forth between two topographic obstacles for large times. Besides, we study the wave stability of these trapped waves by disturbing their amplitudes. The depression solitary wave with a single local minimum is stable, whereas the one with three local minima splits into several depression solitary waves after a series of rebounds between the obstacles.

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Referências

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Publicado

2022-12-08

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