具有饱和非线性项的二维离散非线性薛定谔方程的精确解
Exact Solutions of the Two-Dimensional Discrete Nonlinear Schrödinger Equation with Saturable Nonlinearity
摘要：
我们证明了具有可饱和非线性的二维非线性薛定谔晶格存在周期性和脉冲状的精确解。我们建立了这些解决方案的稳定性考虑的一般形式主义，并给出稳定图的例子。最后，我们证明了类脉冲孤子解的有效Peierls-Nabarro势垒为零。
英文摘要：
We show that the two-dimensional, nonlinear Schrödinger 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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