PMID: 11308602Apr 20, 2001Paper

Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J Garnier

Abstract

This paper deals with the transmission of a soliton in a discrete, nonlinear, and random medium. A random lattice nonlinear Schrödinger equation is considered, where the randomness holds in the on-site potential or in the coupling coefficients. We study the interplay of nonlinearity, randomness, and discreteness. We derive effective evolution equations for the soliton parameters by applying a perturbation theory of the inverse scattering transform and limit theorems of stochastic calculus.

References

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Citations

Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E V DoktorovV M Rothos
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E V DoktorovV M Rothos
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi-Yuan SunAvy Soffer
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Garnier, F Kh Abdullaev

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