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.
Natural Science Foundation of Guangxi Zhuang autonomous region, China
2022GXNSFAA035598
This work is supported by the National Natural Science
Foundation of China (grant No. 12261061) and the Natural Science
Foundation of Guangxi Zhuang autonomous region, China (grant
No. 2022GXNSFAA035598).