Approach to first-order exact solutions of the Ablowitz-Ladik equation
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).
Description
Keywords
Citation
Collections
Source
Physical Review E
Type
Journal article