C. Chong and D.E. Pelinovsky

Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrodinger lattices

Discrete and Continuous Dynamical Systems Series S 4, 1019-1031 (2011)

Abstract:
Using a variational approximation we study discrete solitons of a nonlinear Schrodinger lattice with a cubic-quintic nonlinearity. Using an ansatz with six parameters we are able to approximate bifurcations of asymmetric solutions connecting site-centered and bond-centered solutions and resulting in the exchange of their stability. We show that the numerically exact and variational approximations are quite close for solitons of small powers.

Keywords:
Discrete nonlinear Schrodinger equations, Bifurcations of discrete solitons, Variational approximations