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

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

2010-08-26

arxiv.org/abs/1008.4594v1

J. Phys. A: Math. Theor. 42 (2009) 085002

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/1751-8113/42/8/085002

We point out that the nonlinear Schr{\"o}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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