Rogue Waves in the (2+1)-Dimensional Nonlinear Schr(o)dinger Equation with a Parity-Time-Symmetric Potential

• 来源期刊: 中国物理快报（英文版）
• 关键词: @@
• 年，卷（期）: 2017,（1）
• 页码范围: 6-9
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/34/1/010202

摘要

The (2+1)-dimension nonlocal nonlinear Schr(o)dinger (NLS) equation with the self-induced parity-time symmetric potential is introduced,which provides spatially two-dimensional analogues of the nonlocal NLS equation introduced by Ablowitz et al.[Phys.Rev.Lett.110 (2013)064105].General periodic solutions are derived by the bilinear method.These periodic solutions behave as growing and decaying periodic line waves arising from the constant background and decaying back to the constant background again.By taking long wave limits of the obtained periodic solutions,rogue waves are obtained.It is also shown that these line rogue waves arise from the constant background with a line profile and disappear into the constant background again in the (x,y) plane.