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

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Date

2011-05-04

Authors

Ankiewicz, Adrian
Akhmediev, Nail
Lederer, Falk

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

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).

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Citation

URI

http://hdl.handle.net/1885/15442

Collections

ANU Research Publications

Source

Physical Review E

Type

Journal article

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DOI

10.1103/PhysRevE.83.056602

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Ankiewicz et al Approach to first-order Exact Solutions 2011.pdf (352.93 KB)

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