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Approach to first-order exact solutions of the Ablowitz-Ladik equation

Ankiewicz, Adrian; Akhmediev, Nail; Lederer, Falk


We derive exact solutions of the Ablowitz-Ladik (A-L) equation using a special ansatz that linearly relates the real and imaginary parts of the complex function. This ansatz allows us to derive a family of first-order solutions of the A-L equation with two independent parameters. This novel technique shows that every exact solution of the A-L equation has a direct analog among first-order solutions of the nonlinear Schrödinger equation (NLSE).

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.83.056602
Access Rights: Open Access


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