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Multibreathers-impurity interactions in the discrete nonlinear Schrödinger model

Author

Listed:
  • Tchinang Tchameu, J.D.
  • Togueu Motcheyo, A.B.
  • Tchawoua, C.

Abstract

We report numerical observations of scattering process of moving multibreathers by isolated impurities in the discrete nonlinear Schrödinger lattice representing the vibrational energy transport along the protein chain. It is found that, except for the multibreather passing, internal collision phenomenon support all types of scattering outcomes for both attractive and repulsive impurities. Furthermore, for large strength of attractive impurity the scattering of two-hump soliton can give rise to a trapping on a site other than the one containing the impurity. As concerns three-hump soliton, the passing, trapping and reflection are simultaneously carried out for some parameters. In the case of three-hump soliton introduced between two repulsive impurity sites, back and forth are observed as well as increasingly individualistic behavior of humps over time. Nonetheless, two-hump soliton launched under the same conditions results in large stationary single breather.

Suggested Citation

  • Tchinang Tchameu, J.D. & Togueu Motcheyo, A.B. & Tchawoua, C., 2017. "Multibreathers-impurity interactions in the discrete nonlinear Schrödinger model," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 180-184.
    • Handle: RePEc:eee:chsofr:v:99:y:2017:i:c:p:180-184
    DOI: 10.1016/j.chaos.2017.04.007
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