Publication Date

2007

Journal or Book Title

Journal of Physics A: Mathematical and Theoretical

Abstract

In this work, we systematically generalize the Evans function methodology to address vector systems of discrete equations. We physically motivate and mathematically use as our case example a vector form of the discrete nonlinear Schrödinger equation with both nonlinear and linear couplings between the components. The Evans function allows us to qualitatively predict the stability of the nonlinear waves under the relevant perturbations and to quantitatively examine the dependence of the corresponding point spectrum eigenvalues on the system parameters. These analytical predictions are subsequently corroborated by numerical computations.

Comments

This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/1751-8121/40/17/011/

Volume

40

Issue

17

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