title: Approach to first-order exact solutions of the Ablowitz-Ladik equation.
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).
authors: Optical Sciences Group, Research School of Physics and Engineering, Institute of Advanced Studies, The Australian National University, Canberra ACT 0200, Australia.
authors: Adrian
authors: A
authors: Ankiewicz
authors: Nail
authors: N
authors: Akhmediev
authors: Falk
authors: F
authors: Lederer