Staggered and short period solutions of the Saturable Discrete Nonlinear Schrödinger Equation

Abstract

We point out that the nonlinear Schr{ö}dinger lattice with a saturable nonlinearity also admits staggered periodic as well as localized pulse-like solutions. Further, the same model also admits solutions with a short period. We examine the stability of these solutions and find that the staggered as well as the short period solutions are stable in most cases. We also show that the effective Peierls-Nabarro barrier for the pulse-like soliton solutions is zero.

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Cited by in corpus (4)

• Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrödinger lattices
• Statistical Mechanics of a Discrete Schrödinger Equation with Saturable Nonlinearity
• Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two
• Exact Solutions of the Two-Dimensional Discrete Nonlinear Schrödinger Equation with Saturable Nonlinearity