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TMF, 2024 Volume 219, Number 3, Pages 508–522 (Mi tmf10633)

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

Hui Mao

Center for Applied Mathematics of Guangxi, Nanning Normal University, Nanning, Guangxi, China

Abstract: 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.

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

MSC: 37K10;35Q51

Received: 07.11.2023
Revised: 05.01.2024

DOI: 10.4213/tmf10633


 English version:
Theoretical and Mathematical Physics, 2024, 219:3, 973–985

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© Steklov Math. Inst. of RAS, 2024