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Azadi, A. F., Syafwan, M., Nazra, A., Azfa, R., & Netrisa, Z. P. (2019). Variational Approximations for Intersite Soliton in a Ablowitz-Ladik-Cubic Discrete Nonlinear Schrödinger Equation. KnE Engineering, 4(2), 40–50. https://doi.org/10.18502/keg.v1i2.4430

https://doi.org/10.18502/keg.v1i2.4430

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authors

  • Azzahro Fitri Azadi
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  • Mahdhivan Syafwan
    No author data available.
  • Admi Nazra
    No author data available.
  • Riza Azfa
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  • Zita Putri Netrisa
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Published Date

  • Apr 16, 2019

Variational Approximations for Intersite Soliton in a Ablowitz-Ladik-Cubic Discrete Nonlinear Schrödinger Equation

KnE Engineering / International Conference on Basic Sciences and Its Applications (ICBSA-2018) / Pages 40–50

Abstract

This paper investigates the existence of intersite soliton in the Ablowitz-Ladik-cubic discrete nonlinear Schrödinger (AL-cubic DNLS) equation in the anti-continuum limit by using a variational approximation (VA) method. The AL-cubic equation interpolates the integrable Ablowitz-Ladik DNLS equation and the non-integrable cubic DNLS equation. We obtain that the approximated solitons are in good agreement with those resulted from numerics. We also show that the approximated solitons are valid for small coupling constant and for the interpolation parameter in the vicinity of the cubic DNLS equation.


 


 


Keywords: Discrete Nonlinear Schrödinger equation, intersite soliton, Ablowitz-Ladik equation, variational approximation.

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