Horseshoes for coupled discrete nonlinear Schrödinger equations

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3 引文 斯高帕斯(Scopus)


In this paper, we study the spatial disorder of coupled discrete nonlinear Schrödinger (CDNLS) equations with piecewise-monotone nonlinearities. By the construction of horseshoes, we show that the CDNLS equation possesses a hyperbolic invariant Cantor set on which it is topological conjugate to the full shift on N symbols. The CDNLS equation exhibits spatial disorder, resulting from the strong amplitudes and stiffness of the nonlinearities in the system. The complexity of the disorder is determined by the oscillations of the nonlinearities. We then apply our results to CDNLS equations with Kerr-like nonlinearity. We shall also show some patterns of the localized solutions of the CDNLS equation.

期刊Journal of Mathematical Physics
出版狀態已發佈 - 2009 三月 9

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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