KnE Engineering

ISSN: 2518-6841

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

Published date:Apr 16 2019

Journal Title: KnE Engineering

Issue title: International Conference on Basic Sciences and Its Applications (ICBSA-2018)

Pages:40–50

DOI: 10.18502/keg.v1i2.4430

Authors:
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.

References:

[1] Eisenberg H.S., Silberberg Y., Morandotti R., Boyd A. R., and Aitchison J. S. (1998). Phys.Rev. Lett. 81: 3383.


[2] Kevrekidis P. G. (2009). Discrete Nonlinear Schrödinger Equation: Mathematical Analysis,Numerical Computations and Physical Perspectives. Berlin: Springer.


[3] Drazin, P.G. (1989). Soliton: An Introduction. Cambridge University Press, Cambridge.


[4] Tagg, C. (2005). Soliton Theory in Optical Communications. In Annual Review of Broadband Communications. Chicago: International Engineering Consortium.


[5] Ablowitz, M.J and Ladik, J.F. (1976). Nonlinear Differential-Difference Equations. J. Math. Phys. 16: 598.


[6] Goldstein, H., Poole C., and Safko J. (2002). Classical Mechanics. San FranciscoCalif: Addison Wesley.


[7] Aceves, et. al. (1996). Discrete Self-Trapping, Solitons Interactions, and Beam Steering in Nonlinear Waveguide Arrays. Phys. Rev. E. 53: 1172.


[8] Cuevas, J., James, G., Kevrekidis, P.G., Malomed, B.A., and SanchezRey, B. (2008). Approximation of Solitons in the Discrete NLS Equation. J. Nonlinear Math, Phys. 15: 124.


[9] Kaup, D.J. (2005). Variational Solutions for the Discrete Nonlinear Schrödinger Equation. Math. Comput. Simulat. 69: 322.


[10] Chong, C., Pelinovsky, D. E., and Schneider, G. (2011). On the validity of the variational approximation in discrete nonlinear Schrodinger equation. Physica D 241: 115.


[11] Dawes, J.H.P and H. Susanto. (2013). Variational Approximation and the Use of Collective Coordinates. Phys. Rev. E. 87: 06320231.

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