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arXiv · 1008.4592

Exact Solutions of the Two-Dimensional Discrete Nonlinear Schr\"odinger Equation with Saturable Nonlinearity

Avinash Khare·Kim Ø. Rasmussen·Mogens R. Samuelsen·Avadh Saxena
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Abstract

We show that the two-dimensional, nonlinear Schr\"odinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.

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Avinash Khare, Kim Ø. Rasmussen, Mogens R. Samuelsen, Avadh Saxena. 2010-08-26. Exact Solutions of the Two-Dimensional Discrete Nonlinear Schr\"odinger Equation with Saturable Nonlinearity. https://doi.org/10.1088/1751-8113/43/37/375209

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