Multibreather-like solutions of the real and complex reverse space-time nonlocal defocusing short-pulse equations

Hui Mao

Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 508-522

Résumé

Multibreather-like solutions in determinant form for the real and complex reverse space–time nonlocal defocusing short-pulse equations are constructed via Darboux transformations and nonlocal reductions. It is shown that the multibreather-like solutions of these two equations can be obtained only by reducing the even multisoliton solutions of the two-component short-pulse equation. As examples, $1,2$-breather-like solutions and their dynamics are illustrated graphically.

Détail

Keywords: two-component short-pulse equation, reverse space–time nonlocal defocusing short-pulse equations, reciprocal transformation, multibreather-like solutions.
Mots-clés : Darboux transformation

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