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