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

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  • Sarfraz, H.
  • Saleem, U.

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.

Suggested Citation

  • Sarfraz, H. & Saleem, U., 2020. "Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303972
    DOI: 10.1016/j.chaos.2019.109451
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    References listed on IDEAS

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    1. Romain Fleury & Dimitrios Sounas & Andrea Alù, 2015. "An invisible acoustic sensor based on parity-time symmetry," Nature Communications, Nature, vol. 6(1), pages 1-7, May.
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