Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation

H. Sarfraz and U. Saleem

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: In this article we consider a general system of complex short pulse equation (CSPE) that under certain nonlocal symmetry reduction yields a reverse space-time nonlocal complex short pulse equation (NL-CSPE). We apply matrix Darboux transformation to the associated Lax pair and construct multi-soliton solutions. K-soliton solution is expressed in terms of quasideterminant formula which enable us to compute explicit expressions of symmetry broken and symmetry preserving one- and two-soliton solutions for NL-CSPE. In addition to these solutions, we also obtain one-bright and interaction of two-bright solitons for classical CSPE. All these investigations end up with the conclusion that both symmetry preserving and broken solutions exist for NL-CSPE.

Keywords: Reverse space-time nonlocal complex short pulse equation (NL-CSPE); Symmetry preserving and symmetry non-preserving solutions; Wadati–Konno–Ichikawa (WKI) scheme; Darboux transformation (DT); Quasideterminants (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303972

DOI: 10.1016/j.chaos.2019.109451

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