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)

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.

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